The circumference of a circle, whose area is 24.64 m² , is :

A. 14.64 m

B. 16.36 m

C. 17.60 m

D. 18.40 m

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \because \pi {R^2} = 24.64 \cr & \Leftrightarrow {R^2} = \left( {\frac{{24.64}}{{22}} \times 7} \right) \cr & \Leftrightarrow {R^2} = 7.84 \cr & \Leftrightarrow R = \sqrt {7.84} \cr & \Leftrightarrow R = 2.8\,m \cr & \therefore {\text{Circumference :}} \cr & = \left( {2 \times \frac{{22}}{7} \times 2.8} \right)m \cr & = 17.60\,m \cr} $$