Question

for each of the following circumferences, find the radius of the circle

a. ( c = 0.96 mathrm{~m} )
b. ( c = 88 pi mathrm{cm} )

a. ( r=square )
(simplify pe an exact answer, using ( pi ) as needed )
( mathrm{m} )
( mathrm{m}^{3} )
( mathrm{m}^{2} )

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 \(C = 0.96\) m into the formula for \(r\)

When \(C = 0.96\) m, we have \(r=\frac{0.96}{2\pi}\). Simplifying \(\frac{0.96}{2}=0.48\), so \(r = \frac{0.48}{\pi}\) m.

Answer:

\(r=\frac{0.48}{\pi}\) m