humtum0 wrote:

The figure represents a piece of land that is in the shape of a quarter circle. If the land is enclosed by a fence , which of the following is the closest to the length , in feet, of the fence?

A. 278

B. 341

C. 357

D. 400

E. 441

OA ----> C

Please explain.

Wish I got this on my gmatprep. If u know the rules of circles and what not, this is a gimme problem.

Essentially the question is asking us for the perimeter of the quarter circle.

P= Side1+side2+arc length of the 1/4 circle. radius is 100ft so the diameter is 200ft.

Circum=200pi.

to find the arc length take the degrees of the center of the circle given here as 90degrees and divide it by the total degrees of the circle. So 90/360=1/4.

1/4*200pi=50pi

P=100+100+50pi ---> 200+50pi. U must know that pi is rougly 3.14 or even just 3. so 200+150=350. Closest answer to this is C.