Question

Find the area and the circumference of a circle with a diameter 8yrd.

Use the value 3.14 for π do not round your answer

Answer 1

Part 1) The area of the circle is
`A=50.24\ yd^2`

Part 2) The circumference of the circle is
`C=25.12\ yd`

Explanation:

step 1

The area of a circle is equal to

`A=\pi r^(2)`

we have

`r=8/2=4\ yd` ---> the radius is half the diameter

`\pi =3.14`

substitute

`A=(3.14)(4)^(2)`

`A=50.24\ yd^2`

step 2

The circumference of a circle is equal to

`C=\pi D`

we have

`D=8\ yd`

`\pi =3.14`

substitute

`C=(3.14)8`

`C=25.12\ yd`