Answer:
31 square units
Step-by-step explanation:
The 4 sectors to be cut out are 4 quarters of a circle = 1 full circle
Length of square = 12 units
The radius (r) of the circle = ½ of the length of the square = ½(12) = 6 units
Area of the shaded region = area of the square - area of the circle/4 sectors)
= s² - πr²
s = 12 units
r = 6 units
Plug in the values
Area of the shaded region = 12² - π*6²
= 144 - 113.1
≈ 31 square units (nearest square units)
