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Question -

To warn ships forunderwater rocks, a lighthouse spreads a red colored light over a sector ofangle 80° to a distance of 16.5 km. 



Answer -

Find the area of the sea over which the ships are warned.

(Use π = 3.14)

Solution:

Let O bet the position of Lighthouse.

Here the radius will be the distance overwhich light spreads.

Given, radius (r) = 16.5 km

Sector angle (θ) = 80°

Now, the total area of the sea over which theships are warned = Area made by the sector

Or, Area of sector = (θ/360°)×πr2

= (80°/360°)×πrkm2

= 189.97 km2

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