Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the circumference of a circle is 3π meters. what is the radius? c = 3π …

Question

the circumference of a circle is 3π meters. what is the radius? c = 3π m give the exact answer in simplest form.

Explanation:

Step1: Recall the circumference formula

The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is the circumference and $r$ is the radius.

Step2: Substitute the given value

We know that $C = 3\pi$. Substituting into the formula $3\pi=2\pi r$.

Step3: Solve for $r$

Divide both sides of the equation $3\pi = 2\pi r$ by $2\pi$. We get $r=\frac{3\pi}{2\pi}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$