The circumference of a circle is 56.52 meters. What is the circle's radius Use $$ \pi \approx 3.14 $$ and round your answer to the nearest hundredth.

Question

UpStudy AI · Accepted Answer

To find the radius of a circle given its circumference, you can use the formula:

$$
C = 2\pi r
$$

where:
- $$ C $$ is the circumference,
- $$ \pi $$ is approximately 3.14,
- $$ r $$ is the radius.

**Given:**
$$
C = 56.52 \text{ meters}
$$

**Steps to find the radius ($$ r $$):**

1. **Rearrange the formula to solve for $$ r $$:**
   $$
   r = \frac{C}{2\pi}
   $$

2. **Plug in the known values:**
   $$
   r = \frac{56.52}{2 \times 3.14}
   $$

3. **Calculate the denominator:**
   $$
   2 \times 3.14 = 6.28
   $$

4. **Divide the circumference by the result:**
   $$
   r = \frac{56.52}{6.28} = 9.00 \text{ meters}
   $$

**Answer:**
The radius of the circle is **9.00 meters**.
The radius of the circle is 9.00 meters.

The circumference of a circle is 56.52 meters. What is the circle's radius Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth.