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GeometryQuestion and Answers: Page 89

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$$\left(\mathrm{a}\right)$$$$\mathrm{The}\mathrm{area}\mathrm{of}\mathrm{a}\mathrm{sector}\mathrm{of}\mathrm{a}\mathrm{circle}\mathrm{of}\mathrm{radius}12\mathrm{cm}\mathrm{is}{132\mathrm{cm}}^2.\mathrm{If}\mathrm{the}\mathrm{sector}$$$$\mathrm{is}\mathrm{folded}\mathrm{such}\mathrm{that}\mathrm{its}\mathrm{straight}\mathrm{edges}\mathrm{coincide}\mathrm{to}\mathrm{form}\mathrm{a}\mathrm{cone}.\mathrm{Find}\mathrm{the}$$$$\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{base}\mathrm{of}\mathrm{the}\mathrm{cone}[\mathrm{Take}\pi =\frac{22}{7}].$$$$$$$$\left(\mathrm{b}\right)$$$$\mathrm{A}\mathrm{circle}\mathrm{of}\mathrm{centre}\mathrm{O}\mathrm{has}\mathrm{radius}5\mathrm{cm}.\mathrm{A}\mathrm{chord}\mathrm{PQ}\mathrm{of}\mathrm{the}\mathrm{circle}\mathrm{is}6\mathrm{cm}\mathrm{long}.$$$$\mathrm{caclculate}:$$$$\left(\mathrm{i}\right)\mathrm{The}\mathrm{distance}\mathrm{of}\mathrm{the}\mathrm{chord}\mathrm{from}\mathrm{the}\mathrm{centre}\mathrm{O}$$$$\left(\mathrm{ii}\right)\mathrm{The}\mathrm{angle}\mathrm{POQ}$$

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