$ABC$ is an arc of a circle, centre $O$ and radius $8\text{ cm}$. The tangents at $A$ and \(

Question

$ABC$ is an arc of a circle, centre $O$ and radius $8\text{ cm}$. The tangents at $A$ and $C$ meet at $P$. Angle $AOC$ is $\dfrac{2\pi}{9}$ radians and $AP=2.91\text{ cm}$. Show that angle $APC=\dfrac{7\pi}{9}$ radians. Give reasons for each step of your working.[2] Find the area of the shaded region.[3]

Accepted Answer

(a) $\frac{7\pi}{9}\text{ rad}$ (b) $0.940\text{ cm}^2$

2025 CGS PRELIMS P1 Q21

2025 CGS PRELIMS P1 Q21

Solution:

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