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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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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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  1. Let O bet the position of Lighthouse.

    Ncert solution class 10 chapter 12-9

    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°)×πrkm2

    = 189.97 km2

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