A park is shaped like a circular sector with radius

MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A park is shaped like a circular sector with radius 120 m120\,\mathrm{m}. The curved boundary alone is to be fenced with three parallel strands of barbed wire. If the total length of wire required is 282.6 m282.6\,\mathrm{m}, answer the following: (i) Find the measure of the central angle of the sector (in degrees, correct to the nearest whole number). (ii) Calculate the area of the park. (iii) Grass seed is needed at the rate of 20 kg20\,\mathrm{kg} per 1000 m21000\,\mathrm{m}^2. How many kilograms of grass seed are required to cover the entire park?

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