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)​

Answer 1

Solution :-

Let O bet the position of Lighthouse.

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 made by the sector

Area of sector

= (80°/ 360°) × πr² km²

= 2 / 9 × 3.14 × (16.5)² km²

= 189.97 km²

The Area of the Sea over which the Ships are warned is 189.97 km².

Thanks ..!!

Answer 2

Step-by-step explanation:

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