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25/06/2021 1:17 pm
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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 16.5 km. Find the area of the sea over which the ships are warned.
(Use π = 3.14)
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25/06/2021 1:19 pm
Here the radius will be the distance over which light spreads.
Given, radius (r) = 16.5 km
Sector angle (θ) = 80°
Now, the total area of the sea over which the ships are warned = Area made by the sector
Area of sector = (θ/360°) × πr2
= (80°/360°) × πr2 km2
= 189.97 km2