-
pradeepkaushal9518
- Legendary Member
- Posts: 1309
- Joined: Wed Mar 17, 2010 11:41 pm
- Thanked: 33 times
- Followed by:5 members
The question stem simply states that the ratio of circumference of circular garden K to that of circular garden G is 1/2.
If the radii of gardens K and G are r1 and r2, then
Ratio of circumferences of K and G = (2 * pi *r1)/(2* pi * r2) = r1/r2 =1/2 -----(1)
Statement 1:
Area of G is 25 pi squared meters
i.e. pi * r2 * r2 = 25 * pi
or, r2 = 5
Hence from (1), r1 = 2.5
Thus area of K = pi * r1 * r1 = 6.25 pi squared meters.
Sufficient
Statement 2:
Area of edging around G is 10 pi meters.
i.e. 2 * pi * r2 = 10 * pi
or, r2 = 5
Hence from (1), r1 = 2.5
Thus area of K = pi * r1 * r1 = 6.25 pi squared meters.
Sufficient
Thus Both statements are sufficient alone.
Hence answer is D.
