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Aussie Maths & Science Teachers: Save your time with SmarterEd

Circles, SM-Bank 055

A plane is circumnavigating the earth at the equator. It is cruising at a constant altitude of 10 kilometres above the earths' surface.

Given the earths' radius is approximately 6400 kilometres at the equator, calculate the distance, \(d\), that the plane has travelled after completing one lap of the earth.

Give your answer correct to the nearest whole kilometre.  (3 marks)

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\(40\ 275\ \text{km  (nearest whole kilometre)}\)

Show Worked Solution

\(\text{Radius of planes’ path}=6400+10=6410\ \text{km}\)

\(d\) \(=2\pi r\)
  \(=2\pi \times 6410\)
  \(=40\ 275.2178\dots\)
  \(=40\ 275\ \text{km  (nearest whole kilometre)}\)

 
\(\therefore\ \text{The distance the plane travels around the earth}\)

\(\text{at the equator is approximately }40\ 275\ \text{kilometres.}\)

Circles, SM-Bank 054

Given the earths' radius is approximately 6400 kilometres, calculate the distance, \(d\), around the earth at the equator. Give your answer correct to the nearest whole kilometre.  (2 marks)

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\(40\ 212\ \text{km  (nearest whole kilometre)}\)

Show Worked Solution
\(d\) \(=2\pi r\)
  \(=2\pi \times 6400\)
  \(=40\ 212.3859\dots\)
  \(=40\ 212\ \text{km  (nearest whole kilometre)}\)

 
\(\therefore\ \text{The distance around the earth at the equator is approximately }40\ 212\ \text{kilometres.}\)

Circles, SM-Bank 053

Town A is 135\(^\circ\) east of Town B along the equator, as shown on the diagram below.

Given the earths' radius is approximately 6400 kilometres, calculate the distance \(d\), between the two towns. Give your answer correct to the nearest whole kilometre.  (2 marks)

NOTE:  \(\text{Arc length}=\dfrac{\theta}{360}\times 2\pi r\)

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\(15\ 080\ \text{km  (nearest whole kilometre)}\)

Show Worked Solution
\(d\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{135}{360}\times 2\pi \times 6400\)
  \(=15\ 079.6447\dots\)
  \(=15\ 080\ \text{km  (nearest whole kilometre)}\)

 
\(\therefore\ \text{Towns A and B are }15\ 080\ \text{kilometres apart.}\)

Circles, SM-Bank 052

Calculate the total perimeter of the sector below, giving your answer correct to the nearest whole number.  (2 marks)

NOTE:  \(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

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\(1128\ \text{km  (nearest whole number)}\)

Show Worked Solution

\(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

\(\text{Perimeter}\) \(=2r+\dfrac{\theta}{360}\times 2\pi r\)
  \(=2\times 300+\Bigg(\dfrac{120}{360}\times 2\pi \times 300\Bigg)\)
  \(=1128.3185\dots\)
  \(=1128\ \text{km  (nearest whole number)}\)

Circles, SM-Bank 051

Calculate the total perimeter of the sector below, giving your answer correct to one decimal place.  (2 marks)

NOTE:  \(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

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\(39.0\ \text{cm  (1 d.p.)}\)

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\(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

\(\text{Perimeter}\) \(=2r+\dfrac{\theta}{360}\times 2\pi r\)
  \(=2\times 14+\Bigg(\dfrac{45}{360}\times 2\pi \times 14\Bigg)\)
  \(=38.9955\dots\)
  \(=39.0\ \text{cm  (1 d.p.)}\)

Circles, SM-Bank 050

Calculate the total perimeter of the sector below, giving your answer correct to one decimal place.  (2 marks)

NOTE:  \(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

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\(1523.6\ \text{mm  (1 d.p.)}\)

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\(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

\(\text{Perimeter}\) \(=2r+\dfrac{\theta}{360}\times 2\pi r\)
  \(=2\times 500+\Bigg(\dfrac{60}{360}\times 2\pi \times 500\Bigg)\)
  \(=1523.5987\dots\)
  \(=1523.6\ \text{mm  (1 d.p.)}\)

Circles, SM-Bank 049

Calculate the total perimeter of the quadrant below, giving your answer correct to one decimal place.  (2 marks)

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\(105.3\ \text{km  (1 d.p.)}\)

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\(\text{Perimeter}=2\times \text{radius}+\dfrac{\text{circumference}}{4}\)

\(\text{Perimeter}\) \(=2r+\dfrac{2\pi r}{4}\)
  \(=2\times 29.5+\Bigg(\dfrac{2\pi \times 29.5}{4}\Bigg)\)
  \(=105.3384 \dots\)
  \(=105.3\ \text{km  (1 d.p.)}\)

Circles, SM-Bank 048

Calculate the total perimeter of the quandrant below, giving your answer as an exact value in terms of \(\large \pi\).  (2 marks)

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\(14+\dfrac{7\pi}{2}\ \text{m}\)

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\(\text{Perimeter}=2\times \text{radius}+\dfrac{\text{circumference}}{4}\)

\(\text{Perimeter}\) \(=2r+\dfrac{2\pi r}{4}\)
  \(=2\times 7+\Bigg(\dfrac{2\pi \times 7}{4}\Bigg)\)
  \(=14+\dfrac{7\pi}{2}\ \text{m}\)

Circles, SM-Bank 046

Calculate the total perimeter of the sector below, giving your answer as an exact value in terms of \(\large \pi\).  (2 marks)

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\(100+50\pi\ \text{cm}\)

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\(\text{Perimeter}=\text{diameter}+\dfrac{\text{circumference}}{2}\)

\(\text{Perimeter}\) \(=d+\dfrac{\pi d}{2}\)
  \(=100+\Bigg(\dfrac{\pi \times 100}{2}\Bigg)\)
  \(=100+50\pi\ \text{cm}\)

Circles, SM-Bank 047

Calculate the total perimeter of the sector below, correct to one decimal place.  (2 marks)

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\(17.2\ \text{cm  (1 d.p.)}\)

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\(\text{Perimeter}=\text{diameter}+\dfrac{\text{circumference}}{2}\)

\(\text{Perimeter}\) \(=d+\dfrac{\pi d}{2}\)
  \(=6.7+\Bigg(\dfrac{\pi \times 6.7}{2}\Bigg)\)
  \(=17.2243\dots\)
  \(=17.2\ \text{cm  (1 d.p.)}\)

Circles, SM-Bank 045

Calculate the total perimeter of the sector below, correct to one decimal place.  (2 marks)

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\(442.2\ \text{cm  (1 d.p.)}\)

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\(\text{Perimeter}=\text{diameter}+\dfrac{\text{circumference}}{2}\)

\(\text{Perimeter}\) \(=d+\dfrac{\pi d}{2}\)
  \(=172+\Bigg(\dfrac{\pi \times 172}{2}\Bigg)\)
  \(=442.1769\dots\)
  \(=442.2\ \text{cm  (1 d.p.)}\)

Circles, SM-Bank 044

Calculate the arc length of the sector below, correct to two decimal places.  (2 marks)

\(l=\dfrac{\theta}{360}\times 2\pi r\)

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\(270.18\ \text{m  (2 d.p.)}\)

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\(\text{Diameter}=172 \text{cm}\)

\(\therefore\ \text{Radius}=\dfrac{172}{2}=86 \text{cm}\)

\(\text{Method 1}\)

\(l\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{180}{360}\times 2\pi \times 86\)
  \(=270.1769\dots\)
  \(=270.18\ \text{m  (2 d.p.)}\)

 

\(\text{Method 2}\)

\(l\) \(=\dfrac{1}{2}\times \text{circumference}\)
  \(=\dfrac{1}{2}\times \pi d\)
  \(=\dfrac{1}{2}\times \pi \times 172\)
  \(=270.1769\dots\)
  \(=270.18\ \text{m  (2 d.p.)}\)

Circles, SM-Bank 043

Use the arc length formula below to calculate the arc length of the sector, correct to two decimal places.  (2 marks)

\(l=\dfrac{\theta}{360}\times 2\pi r\)

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\(7.54\ \text{m  (2 d.p.)}\)

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\(l\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{90}{360}\times 2\pi \times 4.8\)
  \(=7.5398\dots\)
  \(=7.54\ \text{m  (2 d.p.)}\)

Circles, SM-Bank 042

Use the arc length formula below to calculate the arc length of the sector, correct to one decimal place.  (2 marks)

\(l=\dfrac{\theta}{360}\times 2\pi r\)

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\(12.4\ \text{mm  (1 d.p.)}\)

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\(l\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{45}{360}\times 2\pi \times 15.8\)
  \(=12.4092\dots\)
  \(=12.4\ \text{mm  (1 d.p.)}\)

Circles, SM-Bank 041

Use the arc length formula below to calculate the arc length of the sector, correct to the nearest whole number.  (2 marks)

\(l=\dfrac{\theta}{360}\times 2\pi r\)

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\(628\ \text{km  (nearest whole number)}\)

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\(l\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{120}{360}\times 2\pi \times 300\)
  \(=628.3185\dots\)
  \(=628\ \text{km  (nearest whole number)}\)

Circles, SM-Bank 040

Use the arc length formula below to calculate the arc length of the sector, correct to one decimal place.  (2 marks)

\(l=\dfrac{\theta}{360}\times 2\pi r\)

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\(25.0\ \text{m  (1.d.p.)}\)

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\(l\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{135}{360}\times 2\pi \times 10.6\)
  \(=24.9756\dots\)
  \(=25.0\ \text{m  (1.d.p.)}\)

Circles, SM-Bank 039

Use the arc length formula below to calculate the arc length of the sector, correct to one decimal place.  (2 marks)

\(l=\dfrac{\theta}{360}\times 2\pi r\)

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\(4.2\ \text{cm  (1.d.p.)}\)

Show Worked Solution
\(l\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{30}{360}\times 2\pi \times 8\)
  \(=4.1887\dots\)
  \(=4.2\ \text{cm  (1.d.p.)}\)

Circles, SM-Bank 038

Evan rides his bike around a circular track with a radius of 150 metres.

He rides the track 5 days a week and wants to have ridden 230 kilometres by the end of the week.

What is the minimum number of laps, to the nearest whole lap, he must complete each day to achieve his target?  (3 marks)

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\(49\ \text{laps}\)

Show Worked Solution

\(\text{Total Distance}=230\ \text{km}=230\ 000\ \text{m}\)

\(\text{Total laps}\) \(=\dfrac{230\ 000}{C}\)
  \(=\dfrac{230\ 000}{300\pi}\)
  \(=244.037\dots\)

 

\(\text{Laps per day:}\) \(=\dfrac{244.037\dots}{5}\)
  \(=48.807\dots\)
  \(\approx 49\ \text{laps}\)

 
\(\therefore\ \text{Evan needs to ride }49\ \text{laps per day to achieve his goal}.\)

\(\Big[\text{Check:  }49\times 5\times 300\pi=230\ 907.06\ \text{m}=230.907\ \text{km}\Big]\)

Circles, SM-Bank 037 MC

A car tyre has a circumference of 120 cm.

Which of these is closest to the radius of the tyre?

  1. \(9.5\ \text{cm}\)
  2. \(19.1\ \text{cm}\)
  3. \(38.0\ \text{cm}\)
  4. \(753.6\ \text{cm}\)
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\(B\)

Show Worked Solution
\(C\) \(=2 \pi r\)
\(120\) \(=2\times \pi\times r\)
\(r\) \(=\dfrac{120}{2 \pi}\)
  \(=19.098\dots\)
  \(\approx 19.1\ \text{cm}\)

 
\(\Rightarrow B\)

Circles, SM-Bank 036 MC

A yoyo at the end of a string moves through a quarter circle arc, as shown below.

The string is 70 cm long.
 

 
The curved distance the yoyo has travelled is closest to

  1. \(80\ \text{cm}\)
  2. \(90\ \text{cm}\)
  3. \(100\ \text{cm}\)
  4. \(110\ \text{cm}\)
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\(D\)

Show Worked Solution
\(\text{Distance}\) \(=\dfrac{1}{4}\times 2\pi r\)
  \(=\dfrac{1}{4}\times 2\pi 70\)
  \(= 109.9557\dots\)
  \(\approx 110\ \text{cm}\)

\(\Rightarrow D\)

Circles, SM-Bank 035

Guerra slings a fire torch in a circle at the end of a 3 metre rope.
 

How far has the fire torch travelled after completing 15 circles?

Give your answer correct to the nearest whole number.  (2 marks)

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\(283\ \text{metres  (nearest whole number)}\)

Show Worked Solution

\(\text{Distance travelled in 1 revolution:}\)

\(C\) \(=2\pi r\)
  \(=2\times \pi\times 3\)
  \(= 18.8495\dots\)

 

\(\therefore\ \text{Distance travelled in }15\ \text{revolutions:}\)

\(=15\times 18.8495\dots\)

\(= 282.7433\dots\)

\(=283\ \text{metres  (nearest whole number)}\)

Circles, SM-Bank 034 MC

A wheel on a bicycle has a diameter of 530 mm.
 

 
The wheel turns 12 times.

Approximately how many metres has the bicycle travelled?

  1. \(6\ \text{m}\)
  2. \(20\ \text{m}\)
  3. \(40\ \text{m}\)
  4. \(399\ \text{m}\)
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\(B\)

Show Worked Solution

\(\text{Diameter}=530\ \text{mm}=0.530\ \text{m}\)   

\(\therefore\ \text{Distance}\) \(=12\times \text{circumference}\)
  \(=12\times \pi d\)
  \(=12\times \pi\times 0.530\)
  \(=19.9805\dots\)
  \(=20\ \text{m  (nearest m)}\)

\(\Rightarrow B\)

Circles, SM-Bank 021

Percy has a large shower head which has a diameter of 25.5 centimetres.

What is the circumference of the shower head in centimetres, correct to one decimal place?   (2 marks)
 
 

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\(80.1\ \text{cm}\ (1\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=\pi d\)
  \(=\pi\times 25.5\)
  \(=80.110\dots\)
  \(=80.1\ \text{cm}\ (1\ \text{d.p.})\)

Circles, SM-Bank 033

Calculate the radius of a circle with a circumference of 870 metres, correct to the nearest ten metres.  (2 marks)

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\(140\ \text{m}\ (\text{nearest ten})\)

Show Worked Solution
\(C\) \(=2\pi r\)
\(870\) \(=2\pi r\)
\(r\) \(=\dfrac{870}{2\pi}\)
  \(=138.4648\dots\)
  \(=140\ \text{m}\ (\text{nearest ten})\)

Circles, SM-Bank 032

Calculate the radius of a circle with a circumference of 324 centimetres, correct to 2 decimal places.  (2 marks)

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\(51.57\ \text{cm}\ (2\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=2\pi r\)
\(324\) \(=2\pi r\)
\(r\) \(=\dfrac{324}{2\pi}\)
  \(=51.5662\dots\)
  \(=51.57\ \text{cm}\ (2\ \text{d.p.})\)

Circles, SM-Bank 031

Calculate the diameter of a circle with a circumference of 109.8 metres, correct to 2 decimal places.  (2 marks)

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\(34.95\ \text{m}\ (2\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=\pi d\)
\(109.8\) \(=\pi d\)
\(d\) \(=\dfrac{109.8}{\pi}\)
  \(=34.9504\dots\)
  \(=34.95\ \text{m}\ (2\ \text{d.p.})\)

Circles, SM-Bank 030

Calculate the diameter of a circle with a circumference of 24 centimetres, correct to 1 decimal place.  (2 marks)

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\(7.6\ \text{cm}\ (1\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=\pi d\)
\(24\) \(=\pi d\)
\(d\) \(=\dfrac{24}{\pi}\)
  \(=7.639\dots\)
  \(=7.6\ \text{cm}\ (1\ \text{d.p.})\)

Circles, SM-Bank 029

Calculate the circumference of a circle with a radius of 1012 centimetres, correct to the nearest hundred.  (2 marks)

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\(6400\ \text{cm}\ (\text{nearest hundred})\)

Show Worked Solution
\(C\) \(=2\pi r\)
  \(=2\pi\times 1012\)
  \(=6358.5835\dots\)
  \(=6400\ \text{cm}\ (\text{nearest hundred})\)

Circles, SM-Bank 028

Calculate the circumference of a circle with a radius of 453 kilometres, correct to the nearest whole number.  (2 marks)

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\(2846\ \text{km}\ (\text{nearest whole number})\)

Show Worked Solution
\(C\) \(=2\pi r\)
  \(=2\pi\times 453\)
  \(=2846.2829\dots\)
  \(=2846\ \text{km}\ (\text{nearest whole number})\)

Circles, SM-Bank 027

Calculate the circumference of a circle with a diameter of 24.6 millimetres, correct to 0ne decimal place.  (2 marks)

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\(77.3\ \text{mm}\ \ (1\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=\pi d\)
  \(=\pi\times 24.6\)
  \(=77.2831\dots\)
  \(=77.3\ \text{mm}\ \ (1\ \text{d.p.})\)

Circles, SM-Bank 026

Calculate the circumference of a circle with a diameter of 35 centimetres, correct to two decimal places.  (2 marks)

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\(109.96\ \text{cm}\ \ (2\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=\pi d\)
  \(=\pi\times 35\)
  \(=109.9557\dots\)
  \(=109.96\ \text{cm}\ \ (2\ \text{d.p.})\)

Circles, SM-Bank 025

Calculate the circumference of the circle below correct to two decimal places.  (2 marks)

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\(653.45\ \text{cm}\ \ (2\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=2\pi r\)
  \(=2\pi\times 104\)
  \(=653.4512\dots\)
  \(=653.45\ \text{cm}\ \ (2\ \text{d.p.})\)

Circles, SM-Bank 024

Calculate the circumference of the circle below correct to one decimal place.  (2 marks)

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\(44.0\ \text{cm}\ \ (1\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=2\pi r\)
  \(=2\pi\times 7\)
  \(=43.9822\dots\)
  \(=44.0\ \text{cm}\ \ (1\ \text{d.p.})\)

Circles, SM-Bank 023

Calculate the circumference of the circle below correct to one decimal place.  (2 marks)

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\(38.3\ \text{m}\ \ (1\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=\pi d\)
  \(=\pi\times 12.2\)
  \(=38.3274\dots\)
  \(=38.3\ \text{m}\ \ (1\ \text{d.p.})\)

Circles, SM-Bank 022

Calculate the circumference of the circle below correct to two decimal places.  (2 marks)

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\(15.71\ \text{m}\ \ (2\ \text{d.p.})\)

Show Worked Solution
\(C\) \(=\pi d\)
  \(=\pi\times 5\)
  \(=15.7079\dots\)
  \(=15.71\ \text{m}\ \ (2\ \text{d.p.})\)

Circles, SM-Bank 020

Use a calculator to evaluate \(2\large\pi r\) correct to 1 decimal place, when \(\large r\)\(=2.1\).  (2 marks)

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\(13.2\ (1\ \text{d.p.})\)

Show Worked Solution
\(2\pi r\) \(=2\times \pi\times 2.1\)
  \(=13.194\dots\)
  \(=13.2\ (1\ \text{d.p.})\)

Circles, SM-Bank 019

Evaluate \(5\large\pi\) using a calculator, giving your answer correct to 2 decimal places.  (1 mark)

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\(15.71\ (2\ \text{d.p.})\)

Show Worked Solution
\(5\pi\) \(=15.7079\dots\)
  \(=15.71\ (2\ \text{d.p.})\)

Circles, SM-Bank 018 MC

Which of the following is the definition of the circumference of a circle?

  1. The distance across a circle passing through the centre.
  2. A portion of the circumference of a circle.
  3. The distance along the boundary of the circle.
  4. The distance from the centre of the circle to its circumference.
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\(C\)

Show Worked Solution

\(\text{The circumference is the distance along}\)

\(\text{the boundary a circle.}\)

\(\Rightarrow C\)

Circles, SM-Bank 017 MC

Which of the following is the definition of the radius of a circle?

  1. The distance across a circle passing through the centre.
  2. A portion of the circumference of a circle.
  3. The distance around the circle.
  4. The distance from the centre of the circle to its circumference.
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\(D\)

Show Worked Solution

\(\text{The radius is the distance from the centre of}\)

\(\text{ a circle to the circumference.}\)

\(\Rightarrow D\)

Circles, SM-Bank 016 MC

Which of the following is the definition of the diameter of a circle?

  1. The distance across a circle passing through the centre.
  2. A portion of the circumference of a circle.
  3. The distance around the circle.
  4. The distance from the centre of the circle to its circumference.
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\(A\)

Show Worked Solution

\(\text{The diameter is the distance across a circle}\)

\(\text{passing through the centre.}\)

\(\Rightarrow A\)

Circles, SM-Bank 015 MC

Which of the following is the definition of an arc?

  1. The distance across a circle passing through the centre.
  2. A portion of the circumference of a circle.
  3. The distance around the circle.
  4. A line that touches a circle at only one point.
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\(B\)

Show Worked Solution

\(\text{An arc is a section of the circumference of a circle.}\)

\(\Rightarrow B\)

Circles, SM-Bank 014

What fraction of a circle is indicated in the diagram below?  (1 mark)

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\(\dfrac{1}{12}\)

Show Worked Solution
\(\text{Angle}\) \(=\dfrac{\theta}{360}\)
  \(=\dfrac{30}{360}\)
  \(=\dfrac{1}{12}\)

Circles, SM-Bank 013

What fraction of a circle is indicated in the diagram below?  (1 mark)

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\(\dfrac{1}{4}\)

Show Worked Solution
\(\text{Angle}\) \(=\dfrac{\theta}{360}\)
  \(=\dfrac{90}{360}\)
  \(=\dfrac{1}{4}\)

Circles, SM-Bank 012

What fraction of a circle is indicated in the diagram below?  (1 mark)

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\(\dfrac{3}{8}\)

Show Worked Solution
\(\text{Angle}\) \(=\dfrac{\theta}{360}\)
  \(=\dfrac{135}{360}\)
  \(=\dfrac{3}{8}\)

Circles, SM-Bank 011

What fraction of a circle is indicated in the diagram below?  (1 mark)

 

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\(\dfrac{1}{8}\)

Show Worked Solution
\(\text{Angle}\) \(=\dfrac{\theta}{360}\)
  \(=\dfrac{45}{360}\)
  \(=\dfrac{1}{8}\)

Circles, SM-Bank 010

What fraction of a circle is indicated in the diagram below?  (1 mark)

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\(\dfrac{1}{3}\)

Show Worked Solution
\(\text{Angle}\) \(=\dfrac{\theta}{360}\)
  \(=\dfrac{120}{360}\)
  \(=\dfrac{1}{3}\)

Circles, SM-Bank 009

What fraction of a circle is indicated in the diagram below?  (1 mark)

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\(\dfrac{1}{6}\)

Show Worked Solution
\(\text{Angle}\) \(=\dfrac{\theta}{360}\)
  \(=\dfrac{60}{360}\)
  \(=\dfrac{1}{6}\)

Circles, SM-Bank 008

If the diameter of a circle is 16.2 millimetres, what is the length of its radius?  (1 mark)

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\(8.1\ \text{mm}\)

Show Worked Solution
\(\text{Radius}\) \(=\dfrac{\text{diameter}}{2}\)
  \(=\dfrac{16.2}{2}\)
  \(=8.1 \text{mm}\)

Circles, SM-Bank 007

If the radius of a circle is 24 centimetres, what is the length of its diameter?  (1 mark)

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\(48\ \text{cm}\)

Show Worked Solution
\(\text{Diameter}\) \(=2\times\text{radius}\)
  \(=2\times 24\)
  \(=48\ \text{cm}\)

Circles, SM-Bank 006

Name the circle parts indicated in the drawing below.  (2 marks)

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a.    \(\text{Secant}\)

b.    \(\text{Quadrant}\)

Show Worked Solution

a.    \(\text{Secant}\)

b.    \(\text{Quadrant}\)

Circles, SM-Bank 005

Name the circle parts indicated in the drawing below.  (2 marks)

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a.    \(\text{Major segment}\)

b.    \(\text{Tangent}\)

Show Worked Solution

a.    \(\text{Major segment}\)

b.    \(\text{Tangent}\)

Circles, SM-Bank 004

Name the circle parts indicated in the drawing below.  (2 marks)

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a.    \(\text{Centre}\)

b.    \(\text{Arc}\)

Show Worked Solution

a.    \(\text{Centre}\)

b.    \(\text{Arc}\)

Circles, SM-Bank 003

Name the circle parts indicated in the drawing below.  (2 marks)

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a.    \(\text{Semicircle}\)

b.    \(\text{Minor segment}\)

Show Worked Solution

a.    \(\text{Semicircle}\)

b.    \(\text{Minor segment}\)

Circles, SM-Bank 002

Name the circle parts indicated in the drawing below.  (2 marks)

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a.    \(\text{Radius}\)

b.    \(\text{Sector}\)

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a.    \(\text{Radius}\)

b.    \(\text{Sector}\)

Circles, SM-Bank 001

Name the circle parts indicated in the drawing below.  (2 marks)

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a.    \(\text{Diameter}\)

b.    \(\text{Chord}\)

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a.    \(\text{Diameter}\)

b.    \(\text{Chord}\)