Question

The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.

Please show work

Answer 1

Part 1) The area is
`A=4,069.44\ in^(2)`

Part 2) The circumference is
`C=226.08\ in`

Explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

`A=\pi r^(2)`

we have

`r=72/2=36\ in` ------> the radius is half the diameter

`\pi =3.14`

substitute

`A=(3.14)(36)^(2)`

`A=4,069.44\ in^(2)`

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

`C=\pi D`

we have

`D=72\ in`

`\pi =3.14`

substitute

`C=(3.14)(72)`

`C=226.08\ in`