2. 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 TE=3.14)
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When a lighthouse spreads a red-colored light underwater, it forms a sector of angle 80
o
and radius =16.5km
∴ Area of sector =
360
θ
×π×r
2
∴ Area of sector =
360
80
×3.14×16.5×16.5
=189.97km
2
o
and radius =16.5km
∴ Area of sector =
360
θ
×π×r
2
∴ Area of sector =
360
80
×3.14×16.5×16.5
=189.97km
2
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