For traffic control , a CCTV camera is fixed on a 8m straight pole. The camera can see 17m distance sight line from the top . Find the area visible be camera around the pole.

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Please find below the solution to the asked query :


$$\begin{gathered} \mathrm{First} \mathrm{you} \mathrm{should} \mathrm{know} \mathrm{that} \mathrm{the} \mathrm{beam} \mathrm{of} \mathrm{light} \mathrm{will} \mathrm{make} \mathrm{a} \mathrm{shape} \mathrm{of} \mathrm{cone}. \\ \mathrm{So} \mathrm{radius} \mathrm{of} \mathrm{cone} = \sqrt{{\mathrm{l}}^2-{\mathrm{h}}^2} \\ = \sqrt{{17}^2-8^2}= 15 \\ \mathrm{SO} \mathrm{Area} \mathrm{visible} \mathrm{around} \mathrm{the} \mathrm{pole} \\ = {\mathrm{\pi r}}^2 \\ = \frac{22}{7}\times 15\times 15 \\ = 707.1428 {\mathrm{m}}^2 \end{gathered}$$

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