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Question

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)

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Solution

When a lighthouse spreads a red-colored light underwater, it forms a sector of angle 80o and radius =16.5km

Area of sector =θ360×π×r2

Area of sector =80360×3.14×16.5×16.5
=189.97km2

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