CAIE IGCSE Maths Extended Arc Length & Sector Area

Practise arc length and sector area calculations using angles, radii, perimeters and exact answers in terms of π, including sectors that form cones.

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