©TeeJay Publishers
Homework for Level F book
Ch 29 - Circle Work
Use ! = 3·14
throughout
this chapter
Chapter 29
Circle Work
Exercise 1
1.
Calculate the circumference of this circle with diameter 12 cm.
Copy and complete : -
2.
=>
C = !D
=>
C = 3·14 x 12
=>
C = .......... cm.
Showing 3 lines of working for each case, calculate the
circumference of each of these circles :(a)
(b)
(c)
3.
10·5 cm
0·2 cm
5 cm
4.
12 cm
Calculate the circumference of the alloy
wheel-trim shown opposite.
15 inches
Calculate the circumference of each of these circles, showing
your 3 lines of working each time :(a)
(b)
4 cm
(c)
0·9 cm
10 cm
5.
A semi-circular doorstep has a diameter of 1·5 metres.
Calculate the perimeter of the doorstep.
1·5 m
6.
Calculate the perimeter of both shapes :(a)
(b)
80 m
200 m
this is Chapter Twenty Nine
75 mm
page 47
CIRCLE WORK
©TeeJay Publishers
Homework for Level F book
Ch 29 - Circle Work
Exercise 2
1.
Find the diameter of the circle
with circumference 78·5 cm.
D = !C
Copy and complete :–
2.
78·5
=>
D=
=>
D = ........ cm
3·14
C = 78·5 cm
Calculate the diameter of each circle below :–
(You must set down 3 lines of working)
(a)
(b)
(c)
C = 1·57 cm
C = 25·12 cm
3.
For a circle with circumference 69·08 cm, calculate its :(a) diameter
4.
(b)
C = 59·66 cm
radius.
The circumference of a tyre from a child’s toy motorbike
is 7·85 centimetres.
Find the radius of the tyre.
5.
This CD has an outer circumference of 40 centimetres.
The hole has a 0·5 centimetre radius.
Calculate :(a) the radius of the CD.
(b) the circumference of the hole.
this is Chapter Twenty Nine
page 48
CIRCLE WORK
©TeeJay Publishers
Homework for Level F book
Ch 29 - Circle Work
Exercise 3
1.
Find the area of a circle with radius 5 cm.
COPY and complete :–
2.
A = !r2
=>
A = 3·14 x 5 x 5
=>
A = ....... cm2
5 cm
Calculate the area of each circle below :–
(You should set down 3 lines of working)
(a)
(b)
10 cm
radius = 22·5 mm
3.
Calculate the area of the circular carpet shown.
It has a radius of 4·6 metres.
4·6 m
(Round your answer to 1 dec. pl.)
4.
5.
Work out the area of this coloured counter which
has diameter 1·8 metres. (Round your answer to 2 dec. pl.)
This circular sign has been split into 2 semi-circles.
If the radius of the circle is 12 cm, find the area
of the shaded part of the circle.
6.
12 cm
Calculate the total shaded area here.
20 cm
this is Chapter Twenty Nine
page 49
CIRCLE WORK
©TeeJay Publishers
Homework for Level F book
Ch 29 - Circle Work
Exercise 4
1.
Calculate the area of these shapes :(a)
(b)
14 cm
8m
2.
Calculate the area of these shapes :10 cm
(a)
(b)
14 cm
16 m
3.
This doughnut has an outer radius of 4·5 cm
and the hole in the centre has a diameter of 2 cm.
Calculate the (approximate) area of chocolate
required to cover the top part of the doughnut.
2 cm
4·5 cm
4.
20 cm
5.
A square with side 20 centimetres has
four identical quarter circles cut out
from each corner as shown.
Work out the shaded area.
A circular trampoline has a circumference
of 10·99 m.
Calculate its area, to the nearest m2 .
this is Chapter Twenty Nine
page 50
CIRCLE WORK
©TeeJay Publishers
Homework for Level F book
Ch 29 - Circle Work
Revision Exercise
1.
Calculate the circumference of
this circle with diameter 6·5 cm.
2.
6·5 cm
Work out the circumference of a circle with radius 24 cm.
24 cm
3.
Calculate the perimeter of this shape :-
4.
3·8 cm
A circle has a circumference of 125·6 mm.
Calculate its :(a) diameter
(b) radius.
C = 125·6 mm
5.
Calculate the area of a circle with diameter 20 cm.
6.
Work out the total area of this shape :-
20 cm
50 cm
120 cm
this is Chapter Twenty Nine
page 51
CIRCLE WORK