CIRCLES
Name: _______________________
Total Marks: ___________
Q.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
www.justmaths.co.uk
Max Actual RAG
2
2
2
2
2
3
4
3
9
4
4
5
3
3
©JustMaths 2013
Q1. A circle has a radius of 7 cm.
Diagram NOT
accurately drawn
7 cm
Work out the area of the circle. Give your answer correct to 3 significant
figures.
(2 marks)
Q2. A circle has a diameter of 14 cm.
14 cm
Diagram NOT
accurately drawn
Work out the circumference of the circle.
Give your answer correct to 3 significant figures.
(2 marks)
www.justmaths.co.uk
©JustMaths 2013
Q3. The radius of a circle is 12 cm. Work out the area of this circle. Use  =
3.14
(2 marks)
Q4. Calculate the circumference of a circle with a radius of 8 cm, using 3.14
as the value of .
(2 marks)
Q5. Calculate the area of the circle shown in the diagram below, using 3.14
as the value of 
(2 marks)
Q6. Here is a tile in the shape of a semicircle. The diameter of the semicircle
is 8 cm.
Work out the perimeter of the tile. Give your answer correct to 2
decimal places.
(3 marks)
www.justmaths.co.uk
©JustMaths 2013
Q7. These shapes have the same perimeter. The semicircle has a diameter of
20 cm. The rectangle has a length of 15 cm.
Work out the width of the rectangle, marked x on the diagram. Use  =
3.14 in your calculations.
(4 marks)
Q8. Calculate the circumference of a circle with a radius of 7·2 cm, giving
your answer to an appropriate degree of accuracy.
(3 marks)
Q9. Calculate the area of a semicircle with a diameter of 44·8 cm.
(3 marks)
www.justmaths.co.uk
©JustMaths 2013
Q10. The diagram shows a circle drawn inside a square.
The circle has a radius of 6 cm. The square has a side of length 12 cm.
Work out the shaded area. Give your answer in terms of .
(4 marks)
Q11. Emily draws a circle that just touches the sides of the original square.
She shades the circle. Emily says that more than 80% of the original
square is shaded. Is Emily correct? You must show your working.
(4 marks)
www.justmaths.co.uk
©JustMaths 2013
Q12. Mr Weaver’s garden is in the shape of a rectangle. In the garden there
is a patio in the shape of a rectangle and two ponds in the shape of
circles with diameter 3.8 m.
The rest of the garden is grass.
Mr Weaver is going to spread fertiliser over all the grass. One box of
fertiliser will cover 25 m2 of grass.
How many boxes of fertiliser does Mr Weaver need? You must show
your working.
(5 marks)
www.justmaths.co.uk
©JustMaths 2013
Q13. Calculate the area of the shaded part of the circle, centre O, shown
below.
(3 marks)
Q14. Emily draws quadrants of circles and shades them. Work out the area
of the square that is unshaded.
(3 marks)
www.justmaths.co.uk
©JustMaths 2013