To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle80° to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use π = 3.14)

Question

To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle80&#xB0; to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use &#x3C0; = 3.14)

Philoid · Accepted Answer

It can be seen from the figure that the lighthouse spreads light across a sector of 80° in a circle of 16.5 km radius

Area of sector OACB = * r²

= * 3.14 * 16.5 * 16.5

= 189.97 km²