Two possible sectors

Two possible sectors

IP 2
3 marks
TGM Original Questions

A minor sector of a circle has perimeter \(20\) cm and area \(24\text{ cm}^2\). Its radius is \(r\) cm and its angle is \(\theta\) radians, where \(0<\theta<\pi\).

  1. Find both possible values of r. Show your working.[3]

Solution:

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Answer:(a) \(r=4\text{ cm or}\hspace{0.5em}r=6\text{ cm}\)

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