Question

area of sector of a circle of radius 36cm is 54πcm².find the length of the corresponding arc of the circle

Answer 1

Find the area of the circle:

Area = πr²

Area = π(36)² = 1296 πcm²

Find the fraction of the sector:

Sector = 54π/1296π = 1/24

Find the length of the arc of the sector:

length of the arc = 1/24 x 2πr

length of the arc = 1/24 x 2π(36)=3π cm

Answer: The length of the arc is 31 cm