To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle $80 °$ to a distance of $16.5 k m$ . Find the area of the sea over which the ships are warned. (Use $π = 3.14$ )

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Solution

Let's find the area of the sea over which the ships are warned
The distance over which light fall $= r = 16.5 k m$
Angle made by the sector $= \emptyset = 80 °$
Area of the sea over which the ships are warned = Area of sector
$= \frac{\emptyset}{360 °} \times {πr}^{2} = \frac{80 °}{360 °} \times 3.14 \times 16.5 \times 16.5 = 189.97 {km}^{2}$
Hence, the area of the sea over which the ships are warned = $189.97 k m^{2}$

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To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle 80° to a distance of 16.5km. Find the area of the sea over which the ships are warned. (Use π=3.14)

To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle $80 °$ to a distance of $16.5 k m$ . Find the area of the sea over which the ships are warned. (Use $π = 3.14$ )