The diagram below shows two types of line associated with circles.
Write down the name of line and the name of line
.

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The diagram below shows two types of line associated with circles.
Write down the name of line and the name of line
.
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A circle has a radius of 12 cm.
Find the exact value of the area of the circle.
Give your answer in terms of .
................................... cm2
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The diagram below shows a circle with a circular hole.
The shape is made by starting with a circle of radius 10 cm, and then a smaller circle of radius 2 cm is removed.
Find the shaded area of the shape.
Write your answer to 3 significant figures.
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The diagram shows a sector .
Find, giving your answers to 3 significant figures:
(i) The area of the sector .
[3]
(ii) The length of the arc .
[3]
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A circle has diameter 6 cm.
Calculate the area of the circle.
Give the units of your answer.
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Calculate the area of a circle with radius 12cm.
............................................. cm2
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Henry buys a circular mirror for the room.
The diameter of the mirror is 80 cm.
Calculate the circumference of the mirror.
.............................................. cm
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Calculate the circumference of a circle with radius 4.5cm.
.............................................. cm
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A circle has diameter 7 cm.
Show that the circumference of the circle is 21.99 cm, correct to 2 decimal places.
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On the left circle below, draw a sector and shade it in. Label it "sector".
On the right circle below, draw a segment and shade it in. Label it "segment".
How did you do?
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The diagram below shows a semicircle with diameter 50 m.
Find the perimeter of the semicircle.
Give your answer in an exact form.
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A new sign for an ice cream shop has been designed.
It consists of a semicircle and an isosceles triangle.
The dimensions of the sign are shown in the diagram below.
Calculate the total area of the sign to 3 significant figures.
.................... cm2
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The diagram below shows sector .
Given that the area of the sector is
cm2, find the value of
.
The diagram below shows sector .
Given that the length of the arc is
cm, find the value of
.
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A circle has a circumference of 56mm.
Work out the radius of this circle.
.............................mm
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Rachel has a pond in her garden in the shape of a circle.
The circumference of the pond is 4.25m.
Calculate the diameter of the pond.
Give your answer in centimetres.
............................................ cm
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is a sector of a circle with radius 9 cm and centre
.
The angle at is 30°.
Calculate the area of this sector.
Give your answer in terms of .
......................................... cm2
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The diagram shows a semicircle with diameter 9 cm.
Calculate the total perimeter of this semicircle.
......................................... cm
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There is a circular pool in the play area at a park. The pool has a diameter of 8m.
Calculate
i) the circumference of the pool,
..........................m [2]
ii) the area of the pool.
........................... m2 [2]
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Write down the mathematical terms associated with circles that can be described by the following definitions:
(i) A line passing through the centre of the circle, which intersects the circle in one place only.
(ii) An area formed by two radii.
(iii) An area formed by a chord.
How did you do?
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The diagram below shows a semicircle and a circle.
The diameter of the semicircle is 16 cm.
The radius of the circle is cm.
Given that the area of the semicircle is 8 times larger than the area of the circle, find the value of .
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The diagram shows a sector of a circle, centre
and radius 6 cm.
is a right-angled triangle.
Work out the area of the shaded segment .
Give your answer to 3 significant figures.
...................... cm2
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The shaded shape below, , is formed by taking a large sector,
, and removing a smaller sector,
.
Find the shaded area, stating your answer in terms of .
For the same shape described in part (a)
Find the perimeter of the shape , stating your answer in terms of
.
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The diagram shows a circle, centre , radius 11 cm.
and
are points on the circumference of the circle.
The line touches the circle at
and is parallel to the line
.
is a point on
and angle
= 140°.
Write down the mathematical name of the straight line.
i) Find, in terms of , the circumference of the circle.
[2]
ii) Work out angle .
Angle = ................................................. [2]
iii) Calculate the length of the minor arc .
............................................ cm [2]
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The diagram shows a square with vertices on the circumference of a circle, centre .
The radius of the circle is 6 cm.
Work out the shaded area.
.......................................... cm2
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The diagram shows a rectangle and two semicircles with diameters and
.
This diagram is a scale drawing of a running track.
i) Complete the statement.
1 centimetre represents ............................ metres.
[2]
ii) Work out the total length of the running track in metres.
............................. m [3]
iii) Shreva walks at 1.4m/s.
Work out how long it will take her to walk once around the track.
Give your answer in minutes and seconds, correct to the nearest second.
.................... minutes .................... seconds [3]
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This shape is drawn using two semicircles that have the same centre.
The large semicircle has radius 7 cm.
The small semicircle has radius 3 cm.
Calculate the area of the shape.
.............................. cm2
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