Question

Each vertex of square ABCD is at the center of equal circles. Find the area of the shaded portion of the figure. Leave your answer in terms of pie.
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answer 1

Step-by-step explanation:

By analysing the figure we can come to the conclusion that diameter of each circle is 2 units.

Therefore radius of the circle is 1 unit.

From the figure we understand that side of the square is equal to radii of two circles i.e. 2 units

Area of the inner square= 2*2= 4 units

Area of sector = theta/360 * πr^2

Area of the shaded region = Area of the square - 4 * 1/4π

= 4 - π

OR

= 4- 3.14 =0.86