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:
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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".
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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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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
..........................m [2]
........................... m2 [2]
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Write down the mathematical terms associated with circles that can be described by the following definitions:
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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.
[2]
Angle = ................................................. [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.
1 centimetre represents ............................ metres.
[2]
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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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