To find the radius of the circle, we can use the formula for the circumference of a circle:

$C = 2\pi r$

Where:

• $C$ is the circumference of the circle,
• $r$ is the radius of the circle,
• $\pi$ is approximately 3.14159.

You are given that the circumference $C = 616$ cm.

We can solve for the radius $r$:

$616 = 2\pi r$

First, divide both sides by $2\pi$:

$r = \frac{616}{2\pi}$

Now calculate this:

$r = \frac{616}{2 \times 3.14159} \approx \frac{616}{6.28318} \approx 98 \text{ cm}$

So, the radius of the circle is approximately 98 cm.

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Would you like more details on how the formula was derived, or have any other questions? Here are some related questions for further exploration:

1. How do you calculate the area of a circle if you know the radius?
2. How does the value of $\pi$ affect the calculation of the circle's radius?
3. What would happen to the radius if the circumference was doubled?
4. How can you use the radius to calculate the diameter of a circle?
5. What other formulas can be derived from the radius of a circle?

Tip: When working with circle formulas, always make sure to use the correct units for consistency in your calculations.