Mastering the Radian: Dimensional Analysis in Geometry
Mastering the Radian: Dimensional Analysis in Geometry
Secondary 3
In the diagram, \(POQ\) is a sector of a circle with centre \(O\) and radius \(10\) cm.
Given that \(QR\) is perpendicular to \(OP\) and \(PR=4\) cm.
Find,
- \(\angle POQ\) in radians,
- the area of the shaded region.
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Answer:(i) \(0.927\text{ rad}\) (3 s.f.) (ii) \(22.4\text{ cm}^2\) (3 s.f.)
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