surface of a pond

I am getting option A as answer .. But how B?


Please let me know

Thanks
Senthil

(22/7)*(7/16)*(7/16)*(2)*(2)

Try again..its B.

First, let's figure out the radius of the pond, in miles rather than inches.

We know that the radius is 7/16 of 2 miles = 14/16 of one mile (7/16 * 2) = 7/8 of a mile.

Now, we need to find the area of the pond, which is easy enough to do using pi * radius squared.

Radius squared is (7/8)*(7/8) = 49/64. Now we must multiply that by pi, which we can just call 3 for estimating purposes.

In fact, we can estimate even more. Let's call the area 50/60 rather than 49/64 (we're estimating, it will be close enough).

(50/60)*3 = 150/60 = 2.5, pretty close to the right answer, B.

Hope this helps!