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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?

A36π sqcm

B76π sqcm

C30π sqcm

D32π sqcm

Answer:

A. 36π sqcm

Read Explanation:

length of Sector = θ/360o x 2πr

Area of Sector = θ/360o x πr2

Given:

Radius r = 12 cm

length of Sector = 6π cm

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

= θ/360o x 2π x 12

θ = 90o

Area of Sector = θ/360o x πr2

=90o/360o x π x 12 x 12

= 36π cm2


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