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

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    A sector of a circle has radius 99 cm and angle 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]
    Level 2 · 4 marksTry it
  2. 2
    The diagram shows a sector of a circle of radius 66 cm. The angle of the sector is 120°120°.O6 cm120°(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.
    Level 2 · 4 marksTry it
  3. 3
    A semicircle has radius 55 cm. Work out the length of its curved edge. Give your answer to 1 decimal place.
    Level 2 · 2 marksTry it