Dimensional Analysis: Working with Exact Values of \(\pi\)

Dimensional Analysis: Working with Exact Values of \(\pi\)

Secondary 3

The diagram shows a sector of a circle with centre \(O\) and radius \(10\) cm.

\(P\) is the midpoint of \(OA\) and \(Q\) is a point on \(OB\) such that \(4QB=1OQ\).

Given that \(\angle AOB=0.5\) radians, calculate

  1. the length of the arc \(AB\),
  2. the length of the line \(PQ\).

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Answer:(i) \(5\text{ cm}\) (ii) \(4.34\text{ cm}\)

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