Edexcel IGCSE Math A Higher 4.9 Ha Perimeters and Areas of Sectors of Circles Radian Questions

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 Edexcel IGCSE Math A Higher 4.9 Ha Perimeters and Areas of Sectors of Circles Radian Questions 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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Edexcel IGCSE Math A Higher 4.9 Ha Perimeters and Areas of Sectors of Circles Radian Questions question 1