# To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80oto a distance of 16.5 km. Find the area of t

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To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80oto a distance of 16.5 km. Find the area of the sea over which the ships are warned.

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Given, sector angle theta = 9=80^(@)
and distance or radius r = 16.5 km
Area of sector = (theta pi r^(2))/(360^(@)) = (80^(@) xx 3.14 xx (16.5)^(2))/(360^(@))
= (2 xx 3.14 xx 272.25)/(9) = (1709.73)/(9) = 189.97 km^(2)
Which is the required area of the sea over which the ships are warned