area of sector of a circle of radius 14 cm is 154 cm square .find the corresponding arc of the sector
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Answer:
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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