Area of shaded region in term of π is 100-25π.
How to calculate the area of the shaded region.
A quarter circle is a curve or arc that spans one-fourth (1/4) of the circumference of a full circle. In terms of degrees, a quarter circle represents 90 degrees since there are 360 degrees in a complete circle, and 360 divided by 4 equals 90.
Area of square = s²
where
s is length of the side of square
r radius of the circles
r = s/2
= 10/2 = 5
Four quarter circles = 1 full circle
Area of the shaded region= area of square - area of circle.
area of circle = πr²
Area of shaded region = 10² - π(5)²
= 100-25π
Therefore, area of shaded region in term of π is 100-25π