Circular Measure: Determining the Area of Sectors and Segments

Circular Measure: Determining the Area of Sectors and Segments

TGM Original

In the diagram, \(OABC\) is a sector of a circle with centre \(O\) and radius \(12\) cm and \(\angle AOC=40{}^\circ \).

  1. Find the arc length of the minor sector \(OABC\).
  2. Calculate the area of the shaded segment.

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Answer:(a) \(8.38\text{ cm}\) (3 s.f.) (b) \(3.98\text{ cm}^2\) (3 s.f.)

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