Edexcel IGCSE Math A 4.9.HA Perimeters & Areas of Circle Sectors

Practise calculating sector area, arc length and perimeter in degrees, including reverse and segment problems.

Exam points

multiply full-circle area or circumference by θ/360 for a sector
add two radii to the arc length when calculating a sector perimeter
subtract triangle area from sector area when working with a circular segment

[Maximum number: 2]

15 A O B is a sector of a circle with centre O and radius 12 cm

Figure for Question 4.9.HA Perimeters and areas of sectors of circles Radian question 1 — Edexcel IGCSE Math A Higher

Diagram NOT accurately drawn

Work out the area of the sector.
Give your answer correct to 3 significant figures.
$\mathrm{cm}^{2}$

$\text{Area}=\frac{75}{360}\times\pi\times12^2=30\pi=94.247\ldots$

Final answer:
$94.2\text{ cm}^2$

M1 for a correct sector-area method. A1 for 94.2-94.3.

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4.9.HA Perimeters and areas of sectors of circles Radian question 1