Question

Use function notation to represent the area of a circle whose circumference is 136cm

Answer 1

`A((68)/(\pi))=(4624)/(\pi)`

Explanation:

The given circle has circumference 136cm.

The formula for circumference is
`C=2\pi r`

This implies that:

`136=2\pi r`

`(136)/(2\pi)=r`

`(68)/(\pi)=r`

The area of a circle is given as
`A(r)=\pi r^2`

When
`r=(68)/(\pi)`

`A((68)/(\pi))=\pi*((68)/(\pi))^2`

`A((68)/(\pi))=\pi*((68)^2)/(\pi^2)`

`A((68)/(\pi))=(4624)/(\pi)`