Fractions of a circle.
13 original questions, 43 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
A sector of a circle has radius 7.5 cm and angle 140°.
Give each answer correct to 3 significant figures.
A sector of a circle has radius 6 cm and area 15π cm².
Work out the angle of the sector.
A sector of a circle has radius 9 cm and angle 120°.
Work out the arc length of the sector.
Give your answer in terms of π.
A sector of a circle has radius 5 cm.
The arc length of the sector is 8.4 cm.
Find the angle of the sector.
Give your answer correct to 1 decimal place.
A sector of a circle has radius 6 cm.
The perimeter of the sector is 42 cm.
The angle of the sector is reflex.
Work out the angle of the sector.
Give your answer correct to 1 decimal place.
A sector of a circle has angle 45°.
The arc length of the sector is 3π cm.
Work out the area of the sector.
Give your answer in terms of π.
A sector of a circle has angle 120° and area 48π cm².
Work out the perimeter of the sector.
Give your answer correct to 3 significant figures.
A sector of a circle has radius 8 cm and angle 75°.
Work out the perimeter of the sector.
Give your answer correct to 3 significant figures.
A lawn is in the shape of a sector of a circle with radius 6 m and angle 210°.
A gardener puts edging all the way round the edge of the lawn.
Work out the length of edging needed.
Give your answer correct to 3 significant figures.
OAB is a sector of a circle, centre O, with radius 10 cm and angle AOB = 60°.
The chord AB divides the sector into a triangle and a segment.
Calculate the area of the segment.
Give your answer correct to 3 significant figures.
A sector of a circle has angle 100°.
The arc length of the sector is 5π cm.
Find the radius of the sector.
A sector of a circle has radius x cm and angle 144°.
A circle has radius 6 cm.
The area of the sector is equal to the area of the circle.
Work out the value of x.
Give your answer in the form k√10.
Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.