Question

Area of a sector of a circle of radius 36 cm is 54π cm2. Find the length of the corresponding arc of the sector.

Answer 1

$\rm\bf\underline{Solution:}$

Find the area of the circle:

Area = πr²

Area = π(36)² = 1296π cm²

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 3π cm

Answer 2

$\large \tt \pink {answer}$

Find the area of the circle:

Area = πr²

Area = π(36)² = 1296π cm²

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 3π cm