50. In the figure below, the square has side length 8 centimeters. Each vertex of the square is the center of a circle. The circles are congruent, and each circle is tangent to 2 of the other circles. The region that is interior to the square and exterior to all 4 circles is shaded. What is the area, to the nearest centimeter, of the shaded region?

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

The sum of the areas of the four sectors surrounded by the square is equal to a circle, so the area of ​​the blank part in the square is equal to a circle. The area of ​​the shaded part is equal to the area of ​​the square minus the area of ​​a circle 82-42π=14. Choose K.