Question

copy (1) circles, proportional relationship, scale drawing
back to assignments
penelope is an architect and is designing a large circular penny fountain. she wants to put a statue in the center of the fountain but does not know the fountains radius. if the fountain has a circumference of 58.26 feet (ft), what is the radius? use 3.14 for π. round your answer to the nearest hundredth.
□ ft

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. We know $C = 58.26$ ft and $\pi=3.14$. We need to solve for $r$.

Step2: Rearrange the formula to solve for $r$

Starting from $C = 2\pi r$, we can isolate $r$ by dividing both sides of the equation by $2\pi$. So $r=\frac{C}{2\pi}$.

Step3: Substitute the given values

Substitute $C = 58.26$ and $\pi = 3.14$ into the formula $r=\frac{C}{2\pi}$. Then $r=\frac{58.26}{2\times3.14}$.
First, calculate the denominator: $2\times3.14 = 6.28$.
Then, calculate $r=\frac{58.26}{6.28}=9.28$.

Answer:

$9.28$ ft