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