# PracticeFind x

#### puremath

##### New member
A wheel with a diameter of 3 ft makes x revolutions. Find x, given that the distance traveled by a point on the circumference of the wheel is 22,619 ft. (Round your answer to the nearest whole number.)

I need help setting it up. In fact, provide the needed steps that will guide me to the answer.

#### MarkFL

##### La Villa Strangiato
Math Helper
This is an arc-length problem.

[MATH]s=r\theta=2\pi rx\implies x=\frac{s}{2\pi r}[/MATH]

#### puremath

##### New member
This is an arc-length problem.

[MATH]s=r\theta=2\pi rx\implies x=\frac{s}{2\pi r}[/MATH]

What words in the problem indicated that it is an arc-length situation?

#### MarkFL

##### La Villa Strangiato
Math Helper
What words in the problem indicated that it is an arc-length situation?

"the distance traveled by a point on the circumference of the wheel"

This is an arc-length.

#### puremath

##### New member
"the distance traveled by a point on the circumference of the wheel"

This is an arc-length.

Thanks. I have an appointment tomorrow at 10am to possibly go see a room agency. I'll keep you posted. By the way, I turned 55 yesterday.

#### MarkFL

##### La Villa Strangiato
Math Helper
Happy birthday!

The oldest of my 3 younger sisters turns 55 at the end of this month.

#### puremath

##### New member
Happy birthday!

The oldest of my 3 younger sisters turns 55 at the end of this month.

Thanks.