Question

What is the area of the shaded region?

Answer 1

`55.04 \: {cm}^(2)`

Explanation:

Side length of square = 16 cm

Diameter of circle = Side of square = 16 cm

Radius of circle = 16/2 = 8 cm.

Area of the shaded region =

Area of square - Area of circle

`= {16}^(2) - \pi* {8}^(2) \\ \\ = 256 - 3.14 * 64 \\ \\ = 256 - 200.96 \\ \\ = 55.04 \: {cm}^(2)`

Answer 2

approx 54.94

Explanation:

area of square is 16^2=256

area of circle is pi(8^2)= approx 201.06

256-201.06=54.94