Circular Measure: Arc Lengths and Sector Properties
Circular Measure: Arc Lengths and Sector Properties
TGM Original
The points \(P\) and \(Q\) lie on the circumference of a circle with centre \(O\).
The area of the circle is \(121\pi\) cm\({}^2\).
The length of the major arc \(PQ\) is \(16.5\pi\) cm.
Calculate
- the radius of the circle,
- the length of the minor arc \(PQ\), giving your answer in terms of \(\pi\),
- the angle \(POQ\) subtended by the minor arc \(PQ\).
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Answer:(i) \(11\text{ cm}\) (ii) \(\frac{11\pi}{2}\text{ cm}\) (iii) \(90^{\circ}\)
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