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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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\(C\)

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

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

\(\Rightarrow C\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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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\(D\)

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

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

\(\Rightarrow D\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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

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

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

\(\Rightarrow A\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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

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

\(\Rightarrow B\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 013

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

--- 2 WORK AREA LINES (style=lined) ---

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

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 012

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

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

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 011

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

--- 2 WORK AREA LINES (style=lined) ---

 

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

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 009

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

--- 2 WORK AREA LINES (style=lined) ---

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

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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.    \(\text{Quadrant}\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 005

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

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a.    \(\text{Major segment}\)

b.    \(\text{Tangent}\)

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a.    \(\text{Major segment}\)

b.    \(\text{Tangent}\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 004

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

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a.    \(\text{Centre}\)

b.    \(\text{Arc}\)

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a.    \(\text{Centre}\)

b.    \(\text{Arc}\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 003

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

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a.    \(\text{Semicircle}\)

b.    \(\text{Minor segment}\)

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a.    \(\text{Semicircle}\)

b.    \(\text{Minor segment}\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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.    \(\text{Sector}\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

Circles, SM-Bank 001

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

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a.    \(\text{Diameter}\)

b.    \(\text{Chord}\)

Show Worked Solution

a.    \(\text{Diameter}\)

b.    \(\text{Chord}\)

Filed Under: Circles Tagged With: num-title-ct-core, smc-4841-10-Circle parts

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