Question

The circumference of a circle is 10pi meters. What is the radius?

Answer 1

5 meters

Step-by-step explanation

the circumference is given by:

`\begin{gathered} C=2\cdot\pi\cdot\text{ radius} \\ \end{gathered}`

Step 1

isolate the radius

`\begin{gathered} C=2\cdot\pi\cdot\text{ radius} \\ \text{divide both sides by 2 }\pi \\ (C)/(2\pi)=\frac{2\pi\text{ radius}}{2\pi} \\ (C)/(2\pi)=\text{radius} \end{gathered}`

Step 2

Let

`c=10\pi`

so

`\begin{gathered} (C)/(2\pi)=\text{radius} \\ (10\pi)/(2\pi)=\text{radius} \\ 5=\text{radius} \end{gathered}`

Hence, the radius us 5 meters

i hope this helps you