QuestionFind the radius of a circle with a circumference of $30 \mathrm{~cm}$ . Options: A. $2 \pi$ , B. $\frac{15}{\pi}$ , C. $\frac{30}{\pi}$ , D. 15, E. 30.

Studdy Solution

STEP 1

Assumptions1. The circumference of the circle is30 cm. We are asked to find the radius of the circle3. We know that the formula for the circumference of a circle is $C =\pi r$ , where $C$ is the circumference and $r$ is the radius of the circle

STEP 2

We can rearrange the formula for the circumference of a circle to solve for the radius.
$r = \frac{C}{2\pi}$

STEP 3

Now, we can substitute the given value for the circumference into the formula to find the radius.
$r = \frac{30 \, \mathrm{cm}}{2\pi}$

STEP 4

implify the expression to calculate the radius.
$r = \frac{30 \, \mathrm{cm}}{2\pi} = \frac{15}{\pi} \, \mathrm{cm}$ So, the length of the radius of the circle is $\frac{15}{\pi}$ cm. The correct answer is (G) $\frac{15}{\pi}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms