Question

In a circle with radius 5cm, a sector has area
15
$\pi$
sqcm. Then length of the arc of the
sector ​

Answer 1

Answer:

Area of the sector formula is = θ/360°  *  πr²

         Now ATQ,

                 15π = θ/360° * π (5)²

             => 15/25 = θ/360°

              => θ/360° = 3/5

              => θ = 216°

Length of the arc formula is ,

                θ/360° * 2πr

            = 3/5  * 2 π * 5

             = 6π = 18.84 cm (Ans.)

        Hope it helps

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