Carcass wrote:
In the figure below, ABCD is a rectangle, and BE and CF are arcs of circles centered at A and D. What is the area of the striped region?
Attachment:
#GREpracticequestion In the figure below, ABCD.jpg
A)
10 - \piB)
2 (5 - \pi)C)
2 (5 - 2\pi)D)
6 + 2\piE)
5 (2 - \pi) Explanation::The area of the rectangle = 5 * 2 = 10
Now for the arc area;
\frac{{Arc Area}}{{Circle Area}} = \frac{90}{360}or Arc area =
\frac{90}{360} * \pi * {radius}^2( radius of the circle = 2)
or Arc area =
\piSince there are 2 Arc and both have the same radius ,
Therefore the area covered by the 2 Arc =
2\piTherefore the Area of the shaded region =
10 - 2\pi = 2(5 - \pi)