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  • ​​​​​​​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)

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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The area of sector is given by :- 

                                       Area\ =\ \frac{\Theta}{360^{\circ}}\ \times \pi r^2

In this case the angle is 80o.

Thus the area is :-  

                                                    =\ \frac{80^{\circ}}{360^{\circ}}\ \times \pi \times 16.5^2

or                                                 =\ 189.97\ Km^2

Posted by

Devendra Khairwa

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