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Ex-12. 2. Q. 12

Answer» Q.12 To warn ships for underwater rocks a lighthouse spreads a red coloured light over a sector of angle 80º to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (Use \\pi = 3.14)Sol. Area of the sea over which the ships are warned = Area of the sector (having r = 16.5 km and \\theta = {80^o}) = {\\theta \\over {360}} \\times \\pi {r^2} = \\left( {{{80} \\over {360}} \\times 3.14 \\times 16.5 \\times 16.5} \\right)sq.\\,km = {{68389.2} \\over {360}}sq.km = 189.97\\,k{m^2}


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