Question

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answer 1

Cut the square in half and use pythagorean thereom to solve for the long side of the triangle or it’s diameter.
a^2 + b^2 = c^2

8^2 + 8^2 = c^2
64 + 64 = c^2
128 = c^2 …square root both sides
c = 11.3137 (diameter)

radius is half diameter

r = 5.6569

Then you can subtract the area of a square a=bh from the area of the circle a = pi(r)^2.

a = (8)(8) the square’s area is 64.

a = pi (5.6569)^2
a = pi (32) the circle’s area is 32pi

so subtracting the area of the square from the circle is 32pi - 64.

Therefore it is the last selection 32pi - 64.