Question

Use 3.14 for PI( π )

Diameter: 5 ft
Formula: A= πr2

Answer 1

`\boxed {\boxed {\sf 19.625 \ ft^2}}`

Explanation:

The area of a circle is found using this formula:

`a= \pi r^2`

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.

• r=d/2
• r= 5 ft/2
• r= 2.5 ft

We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

`a= (3.14)* (2.5 \ ft)^2`

Solve the exponent.

• (2.5 ft)²= 2.5 ft *2.5 ft=6.25 ft²

`a= (3.14)*(6.25 \ ft^2)`

Multiply.

`a=19.625 \ ft^2`

The area of the circle is 19.625 square feet.