Question

The area of sector of a circle of radius 36 cm is 72π sqcm. The length of the corresponding arc of the sector is?

• A. π cm
• B. 2 π cm
• C. 3π cm
• D. 4π cm

Answer 1

Answer:

D. 4π cm

Area of Sector = θ/360^o x πr²

Given:

Radius r = 36 cm

Area of Sector = 72π cm²

72π = θ/360^o x π x 36 x 36

$\frac{72}{36\times{36}}$ = θ/360^o

θ $= 2\times{10}$

θ = 20^o

Arc length = θ/360^o x 2πr

=20^o/360^o x 2π x 36

=4 π cm