Question

A circle has a circumference of 153.86153.86153, point, 86 units.

What is the radius of the circle?
Use 3.14 for \piπpi and enter your answer as a decimal.

Answer 1

The radius of the circle is 24.5 units

Explanation:

The formula for the circumference of a circle is
`C=2\pi r`

Where
`C` is the circumference and
`r` is the radius.

Lets solve for
`r`.

Divide both sides of the equation by
`2\pi`.

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

Now we have an equation to evaluate the radius.

Numerical Evaluation

In this example we are given

`C=153.86153\\\pi =3.14`

Substituting our values into our equation for the radius yields

`r=(153.86153)/(2*3.14)`

`r=(153.86153)/(6.28)`

`r=(153.86153)/(6.28)`

`r=24.5`