Subject: General Aptitude · Chapter: Area · Exam: 2008 · Marks: · Difficulty:
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
Answer (as printed): A
Explanation
Let the radius of the new park be $R$ m. Then, $\pi R^{2}=\pi \times 8^{2}+\pi \times 6^{2}=100 \pi \Rightarrow R^{2}=100$ $$\Rightarrow R=10 \mathrm{m} .$$