Core Competency: Converting Between Angular Units

Core Competency: Converting Between Angular Units

Secondary 3

\(KOM\) is a sector of radius \(5\) cm and arc length \(7\) cm.
\(L\) is a point on \(OK\) such that \(OL = 4\) cm. Find

  1. \(\angle KOM\) in radians.
  2. the perimeter of the shaded region.
  3. the area of the shaded region.

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Answer:(i) \(1.4\text{ rad}\) (ii) \(13.8\text{ cm}\) (iii) \(7.65\text{ cm}^2\)

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