Question

Two warn ships for underwater rocks, a light house spreads a red light over a sector of angle, 72 to a distance of 15 km . Find the area of the sea over which ships are warned.(π = 3.14)​

Answer 1

Answer:

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Answer 2

Answer:

We use the area of a sector of a circle to solve the given question.

The lighthouse spreads red coloured light over a sector of a circle with a radius 16.5 km and an angle of degree measure 80°

Area of the sea over which the ships are warned = Area of the sector of the circle with radius 16.5 km with an angle of degree measure 80°

= θ/360° × πr2

= 80°/360° × πr2

= 2/9πr2

= 2/9 × 3.14 × 16.5 km × 16.5 km

= 189.97 km2