Question

Here are two circles, Circle A and Circle D. Segment AD connects the two centers and is 10 inches long. Segment AD is a side to square ABCD. What is the area of the shaded region.

Answer 1

the answer is, area of the square - a half of area of the circle

C=circle and S =square

radius of C is 10

so Area Of C is =

`\pi r^(2) = \pi{10}^(2) = 100\pi`

area of S = 10×10 = 100

so the answer is

`s - (c)/(2) = 100 - (100\pi)/(2) = 100 - 50\pi`