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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To warn ships for underwater rocks, a lighthouse spreads a red

Question

To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle $8 0^{\circ}$ 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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Eleanor Discussed

To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle

8 0^{\circ}

to a distance of

16.5 km

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

π = 3.14

)

10 mins ago

Discuss this question LIVE

10 mins ago

When a lighthouse spreads a red-colored light underwater, it forms a sector of angle

8 0^{o}

and radius

= 16.5 km

∴

Area of sector

= \frac{θ}{360} \times π \times r^{2}

∴

Area of sector

= \frac{80}{360} \times 3.14 \times 16.5 \times 16.5

= 189.97 k m^{2}

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Question Text	To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle $8 0^{\circ}$ to a distance of $16.5 km$ . Find the area of the sea over which the ships are warned. (Use $π = 3.14$ )
Answer Type	Text solution:1
Upvotes	150