A sector from its boundary lengths

A sector from its boundary lengths

Secondary 3
6 marks
TGM Original Questions

A sector has an arc length of \(12\text{ cm}\) and a perimeter of \(28\text{ cm}\). Its radius is \(r\text{ cm}\) and its angle is \(\theta\) radians.

  1. Find \(r\).[2]
  2. Find \(\theta\).[2]
  3. Calculate the area of the sector.[2]

Solution:

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Answer:(a) \(r=8\). (b) \(\theta=1.5\) radians. (c) \(48\text{ cm}^2\).

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