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To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80° to a distance of 16.5 km. 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 coloured light over a sector of angle 80° to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use π = 3.14)
Updated On: Jan 13, 2026
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Solution and Explanation
The figure illustrates a lighthouse emitting light over an 80° sector within a 16.5 km radius circle.
Area of sector OACB = \(\frac{80°}{360°} \times \pi r ^2\)
= \(\frac{2}{9} \times 3.14 \times 16.5 \times 16.5\)
= \(189.97\,km^2\)
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