Solved on Nov 20, 2023

Find the radius rr when the circumference CC is 29π29\pi.

STEP 1

Assumptions1. The formula for the circumference of a circle is C=πrC= \pi r . The given circumference is C=29πC=29 \pi

STEP 2

We are asked to solve for rr, the radius of the circle. We can do this by rearranging the formula to isolate rr.
r=C2πr = \frac{C}{2 \pi}

STEP 3

Now, plug in the given value for the circumference CC to calculate the radius rr.
r=29π2πr = \frac{29 \pi}{2 \pi}

STEP 4

implify the equation by cancelling out π\pi in the numerator and denominator.
r=292r = \frac{29}{2}

STEP 5

Calculate the radius rr.
r=292=14.5r = \frac{29}{2} =14.5The radius of the circle is14.5 units.

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