Question

The length of arc sector of a circle of radius 12 cm is 6π cm. The area of the corresponding arc of the sector is?

• A. 36π sqcm
• B. 76π sqcm
• C. 30π sqcm
• D. 32π sqcm

Answer 1

Answer:

A. 36π sqcm

length of Sector = θ/360^o x 2πr

Area of Sector = θ/360^o x πr²

Given:

Radius r = 12 cm

length of Sector = 6π cm

Length of Sector = θ/360^o x 2π x 12 = 6π

6π = θ/360^o x 2π x 12

θ = 90^o

Area of Sector = θ/360^o x πr²

=90^o/360^o x π x 12 x 12

= 36π cm²