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Area of sector of circle of radius14cm is154 cm find the length of the corresponding arc of sector

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Area of a sector of a circle of radius 14cm is 154 cm sq. Find the length of the correspoding arc of the sector?

Asked by | 1st Mar, 2013, 10:34: AM

Expert Answer:

Answer : Given : Area of a sector of a circle of radius 14cm is 154 cm sq. To Find : the length of the correspoding arc of the sector let radius be r and the angle made at centre be x => area of sector = 154 cm2 => (x pi r2) / 360 = 154 cm2 => x = (154 *360) / (pi* 142) => x = 90.04 degrees Now length of the arc = (x * 2 pi r) / 360 = (90.04 * 2* pi*14)/360 = 22 cm (approx ) answer

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