Question

Find the area of the shaded region

Answer 1

28.38 cm²

Explanation:

Area of square

a = 11.5^2

a = 132.25

The corners are 4 quarter circle

which makes a complte circle

a = πr^2

a = π(11.5/2)^2

a = 103.8689071093

Area shaded

a = 132.25 - 103.8689071093

a = 28.3810928907

Rounded

a = 28.38 cm²

Answer 2

Area = 28.43 cm²

Explanation:

area of square = 11.5 x 11.5 = 132.25 cm²

area of circle = πr² = (3.14)(5.75²) = 103.82 cm²

Area= 132.25 - 103.82 = 28.43 cm²