The diagram shows a sector of a circle with centre $O$ and radius $8$ cm. $P$ is a point on \(

Question

The diagram shows a sector of a circle with centre $O$ and radius $8$ cm.
$P$ is a point on $OA$ such that $4OP=3OA$ and $Q$ is a point on $OB$ such that $5OQ=2OB$.
Given that $\angle AOB=0.8$ radians, calculate

the length of $PQ$.
the arc length $AB$.
the area of the shaded region.

Accepted Answer

(i) $4.41\text{ cm}$ (ii) $6.4\text{ cm}$ (iii) $18.7\text{ cm}^2$

Linear and Angular Measure Relationships

Linear and Angular Measure Relationships

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