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Area, SM-Bank 137

The sector shown has a radius of 13 cm and an angle of 230°. 
 

 

 What is the area of the sector to the nearest square centimetre?    (2 marks) 

NOTE: 

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Area, SM-Bank 135

A shape consisting of a quadrant and a right-angled triangle is shown.
 

  1. Use Pythagoras' Theorem to calculate the radius of the quadrant.  (2 marks)

  2. What is the area of this shape, correct to one decimal place?  (2 marks)
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a.   

b.   

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a.   

 

 

b.   
   
   
   
   

Angle Properties, SM-Bank 007

The diagram below shows two parallel lines intersected by transversal .
 

  1. Name two angles that are complementary to .   (2 marks)

  2. Name the angle that is corresponding to .   (1 mark)

  3. Name the angle that is alternate to .   (1 mark)
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i.     

ii.   

iii. 

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i.     


 

ii.   

 

 
iii. 

Area, SM-Bank 121

Milan cuts a sector from a circle so that    of the area of the circle remains.
 


 

If the circle's radius is 4 cm, what is the area of the shape, to the nearest square centimetre?  (2 marks)

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Area, SM-Bank 120

A one-on-one basketball court is a composite shape made up of a rectangle and a semicircle, as shown below.
 

Calculate the area of the court, giving your answer correct to one decimal place.   (2 marks)

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Area, SM-Bank 101

The triangle below is isosceles.

  1. Use Pythagoras' Theorem to calculate the perpendicular height () of the triangle.  (2 marks)

  2. Using your answer from (a), find the area of the triangle.  (2 marks)

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a.   

b.   

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a.   

 

 

b.   
   
   

Area, SM-Bank 100

Calculate the area of the following triangles.

  1.  
    (2 marks)

  2.   
    (2 marks)

  3.   
        (2 marks)

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a.   

b.   

c.   

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a.   
   
   

 

b.   
   
   

 

c.   
   
   
 

 
 
   

 

Area, SM-Bank 099

Calculate the area of the following triangles.

  1.  
    (2 marks)

  2.  
    (2 marks)

  3.  
      (2 marks)

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a.   

b.   

c.   

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a.   
   
   

 

b.   
   
   

 

c.   
   
   

Area, SM-Bank 098

Label the base () and draw and label a line indicating the perpendicular height (), on the following triangles.

a.   (1 mark)

                      b.    (1 mark)

                   

c.   (1 mark)
   
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a. 

                     b. 

                   

c. 

   
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a. 

                     b. 

                   

c. 

   
         
         

Area, SM-Bank 097

Identify the base () and the perpendicular height (), by labelling the following triangles.

a.   (1 mark)

                      b.    (1 mark)

                   

c.   (1 mark)
   
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a. 

                     b. 

                   

c. 

   
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a. 

                     b. 

                   

c. 

   

Area, SM-Bank 096

Luke builds a rectangular wooden deck in his backyard, with dimension 12 metres by 5 metres.
 

Luke is going to create a 0.5 metre wide path around the full perimeter of his deck.

  1. What is the total area of the path in square metres?  (2 marks)

  2. He is creating the path using pavers at a cost of $92 per square metre. Calculate the cost of the pavers.  (1 mark)

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a.   

b.   

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a.   
   
   

 

b.   
   

Area, SM-Bank 095

A cement slab is laid in Yvette's backyard that forms an 8 metre by 4 metre rectangle.
 

Yvette is going to lay a 0.25 metre wide path around the full perimeter of her slab.

  1. What is the total area of the perimeter path in square metres?  (2 marks)

  2. She is covering the path with artificial grass at a cost of $45 per square metre. Calculate the cost of laying turf on the path.  (1 mark)

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a.   

b.   

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a.   
   
   

 

b.   
   

Area, SM-Bank 093 MC

Ken puts two cardboard squares together, as shown in the diagram below.

The squares have areas of 4 cm² and 25 cm².

Ken draws a line from the bottom left to top right, and shades the region above the line.
 

What is the area of the shaded region?

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Area, SM-Bank 080

Bobby used 3 litres of varnish to paint the loungeroom floor.

The floor was a square with sides 6 metres long.

How many litres of varnish would he need to paint a rectangular floor which is 6 metres long and 10 metres wide?  (2 marks)

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