A circular garden with a radius of 4 ft is planted in the center of a 10-ft square. The part of the square that is NOT the garden is covered with small rocks. What is the area of the region covered with small rocks

The area of the region covered with small rocks is 49.76 ft²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

The radius of the garden is 4 ft

Therefore,

Area of garden = 3.14 × 4² = 50.24ft²

The length of each side of the square is 10ft.

Area of square = 10² = 100ft²

The area of the region covered with small rocks = Area of the square - area of the circular garden. It becomes

100 - 50.24 = 49.76 ft²