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Question 12
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

Distance over which light spread i.e. radius, r = 16.5 km
Angle made by the sector =80
Area of the sea over which the ships are warned
= Area of the sector.
= (80360)×πr2 km2=29×3.14×(16.5)2 km2=189.97 km2

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