Give me the best solution of the ncert class 10 question of chapter areas related to circles . Find the solution of exercise 12.2 question no. 12 and also give me the simplest solution of this question.To warn ships for underwater rocks, a lighthouse spreads a red colored 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 colored 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). Q.12
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Let O bet the position of Lighthouse.
Here the radius will be the distance over which light spreads.
Given, radius (r) = 16.5 km
Sector angle (θ) = 80°
Now, the total area of the sea over which the ships are warned = Area made by the sector
Or, Area of sector = (θ/360°)×πr2
= (80°/360°)×πr2 km2
= 189.97 km2