Question

The area of sector of a circle of radius 18 cm is 144π sqcm. The length of the corresponding arc of the sector is?

• A. 14 π cm
• B. 10 π cm
• C. 26 π cm
• D. 16 π cm

Answer 1

Answer:

D. 16 π cm

Area of Sector = θ/360^o x πr²

Given:

Radius r = 18 cm

Area of Sector = 144π cm²

144π = θ/360^o x π x 18 x 18

$\frac{144}{18\times{18}}$ = θ/360^o

θ $= 16\times{10}$

θ = 160^o

Arc length = θ/360^o x 2πr

=160^o/360^o x 2π x 18

=16 π cm