Radian measure, arc length and sector areaEdexcel International A Level Maths: Mind map

Radians

Arc length

Sector area

Radians

arcs and sectors

\pi=180^{\circ}

s=r\theta

A=\frac12r^2\theta

Perimeter

Segments

Exam tips

Exam questions on Radian measure, arc length and sector area

A sector $OAB$ of a circle with centre $O$ and radius $6$ cm has angle $\frac{2\pi}{3}$ radians at $O$ .
Find the perimeter of the sector $OAB$ , giving your answer in the form $a+b\pi$ .2 marks
A circle has radius $8$ cm. A sector of this circle has an arc of length $10$ cm.
Give the angle of the sector in degrees, correct to 1 decimal place.2 marks
A sector $OPQ$ of a circle with centre $O$ and radius $9$ cm has area $36$ cm $^2$ .
Find the angle $POQ$ in radians.3 marks

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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).