Question

for each of the following circumferences, find the radius of the circle.
a. ( c = 0.96m )
b. ( c = 88pi cm )
a. ( r=\frac{0.48}{pi}m )
(simplify your answer. type an exact answer, using ( pi ) as needed.)
b. ( r=square )
(simplify ) ie an exact answer, using ( pi ) as needed.)

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius. We can solve for \(r\) by rearranging the formula: \(r=\frac{C}{2\pi}\).

Step2: Substitute \(C = 88\pi\) into the formula for \(r\)

Given \(C = 88\pi\), substitute into \(r=\frac{C}{2\pi}\).

$$ r=\frac{88\pi}{2\pi} $$

Step3: Simplify the expression

Cancel out the \(\pi\) terms: \(\frac{88\pi}{2\pi}=\frac{88}{2}\).

$$ \frac{88}{2}=44 $$

Answer:

\(r = 44\) cm