GCSE · Circles, arcs & sectors

Arc length & sector areaExam-style questions

Why a sector is just a fraction of the whole circle, arc length and sector area from that one idea, perimeter of a sector (don't forget the radii), and working backwards from an arc or area to the angle.

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15 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
The diagram shows a circle of radius $10$ cm. A chord divides the circle, and the angle at the centre is $80°$ .Diagram NOT accurately drawn

Work out the area of the shaded segment. Give your answer correct to 1 decimal place.
Level 5 · 4 marksTry it
2
A circle has radius $7$ cm. The minor arc $AB$ has length $6.5$ cm.

(a) Work out the angle of the minor sector $OAB$ . Give your answer correct to 1 decimal place.

(b) Work out the area of the major sector. Give your answer correct to 3 significant figures.
Level 5 · 5 marksTry it