Answer:
See below.
Step-by-step explanation:
The side of the square is k.
The area of the square is k².
The diameter of the circle is k.
For a circle, radius = diameter/2.
The radius of the circle is k/2.
Formula for area of circle: A = πr².
Here, the radius, r, is k/2.
The area of the circle is π(k/2)² = (πk²)/4
The shaded area is the difference between the area of the square and the area of the circle.
shaded area = k² - (πk²)/4
We are told that the shaded area = A
A = k² - (πk²)/4
Multiply both sides of the equation above by 4.
4A = 4k² - πk²
