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 warned.

Asked by Pragya Singh | 1 year ago |  87

1 Answer

Solution :-

Let O bet the position of Lighthouse.

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

Or, Area of sector = \(( \dfrac{θ}{360°}) \)×πr2

= (\( \dfrac{80°}{360°} \))×πrkm2

= 189.97 km2

Answered by Abhisek | 1 year ago

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