igureMaths
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Circles, arcs & sectors
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48 questions at your level
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Level 2
Level 3
Level 4
Level 5
Arc length & sector area
20 questions
Lesson
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The diagram shows a sector of a circle of radius
6
6
6
cm. The angle of the sector is
120
°
120°
120°
.
O
6 cm
120°
(a)
Work out the arc length of the sector. Give your answer correct to 1 decimal place.
(b)
Work out the area of the sector. Give your answer correct to 1 decimal place.
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Level 2
4 marks
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Mark as done
A semicircle has radius
5
5
5
cm. Work out the length of its curved edge. Give your answer to 1 decimal place.
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Level 2
2 marks
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A circle has radius
7.5
7.5
7.5
cm.
(a)
Work out the area of the circle. Give your answer correct to 1 decimal place. [2]
A semicircle is cut from the circle.
(b)
Work out the perimeter of the semicircle. Give your answer correct to 1 decimal place. [2]
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Level 2
4 marks
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Mark as done
A sector of a circle has radius
9
9
9
cm and angle
40
°
40°
40°
.
(a)
Work out the area of the sector. Give your answer correct to 3 significant figures. [2]
(b)
Work out the perimeter of the sector. Give your answer correct to 3 significant figures. [2]
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Level 2
4 marks
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Circle theorems
18 questions
Lesson
Not started
Mark as done
A
A
A
,
B
B
B
and
C
C
C
are points on a circle with centre
O
O
O
.
Angle
A
B
C
=
36
°
ABC = 36°
A
B
C
=
36°
.
36°
x
A
B
C
O
Diagram NOT accurately drawn
Work out the size of the angle marked
x
x
x
. Give a reason for your answer.
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Level 2
3 marks
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