Question

the area of sector is 770 sq.cm the arc of a sector of a circle makes an angle of 72° at the centre of the circle. Find the circumference of the circle.​

Answer 1

Answer: The steps to solve this question are

pls refer to the image above

Answer 2

Step-by-step explanation:

$option is</p><p></p><p>A</p><p></p><p>7331cm</p><p></p><p>Given−OAPBisasectorwithcentralangle=∠AOB=θ=200oandar.sector=770cm2.Tofindout−ThelengthofthearcAPB=l=?Solution−Lettheradiusofthesectorber.Thenar.sector=360oθ×π×r2=360o200o×722×r2=770⟹r=770×200o360o×227cm=21cm.∴ThelengthofthearcAPB=l=360oθ×2×π×r=360o200o×2×722×21cm=3220cm=7331cm</p><p></p><p>$