Two small circular parks of diameters 16 m and 12 m are to be replaced by a Bigger circular park. What would be the radius of this new park. If the new park has to occupy the same space as the two small parks ?

A. 10 m

B. 15 m

C. 20 m

D. 25 m

Answer: Option A

Solution(By Examveda Team)

Let the radius of the new park be R m
Then,
$$\eqalign{ & \pi {R^2} = \pi \times {8^2} + \pi \times {6^2} \cr & \Rightarrow \pi {R^2} = 100\pi \cr & \Rightarrow {R^2} = 100 \cr & \Rightarrow R = 10 \cr} $$