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

Answered by  | 1st Mar, 2013, 04:13: PM

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