CAIE IGCSE Mathematics Extended E5.3.2 Carry out calculations involving arc length & sector area as

Practise arc length and sector area calculations using angles, radii, perimeters and exact answers in terms of π.

Exam points

calculate minor or major arc length from a sector angle and radius
find sector area in terms of π, including when the sector angle must be inferred
use arc length with radii to form the perimeter of a major or minor sector

[Maximum number: 3]

NOT TO SCALE

The diagram shows a sector of a circle with radius 8 cm and angle $75^{\circ}$ .
Find the perimeter of the sector.
cm

26.5 or 26.47...
B2 for 10.5 or 10.47... or $\frac{10\pi}{3}$
OR M2 for $8+8+\frac{75}{360}\times2\pi\times8$
or M1 for $\frac{75}{360}\times2\pi\times8$

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E5.3.2 Carry out calculations involving arc length and sector area as question 1