What is the probability (%) of picking a point that lies in the shaded region? Round to the tenth.

Question

Answer 1

The area in the shaded region is equal to the area of the square - the area of the circle.

Since the radius of the circle is 5cm, the area of the circle is PI * radius squared = 25 = 78.5 cm^2

The radius of the circle is half the length of the side of the square, so the side of the square is 10 cm.

The area of the square is length of side squared, so the area of the square is 100 cm^2

The area of the square - the area of the circle = 100 - 78.5 = 21.5 cm^2, so that is the area of the shaded region.