IF the circumference of a circle is `52.8 cm, ` find its radius.

Answer

To find the radius of a circle given its circumference, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for circumference**:
The circumference \( C \) of a circle is given by the formula:
\[ C = 2\pi r \]
where \( r \) is the radius of the circle.

2. **Set up the equation**:
We know that the circumference \( C \) is \( 52.8 \, \text{cm} \). Therefore, we can write:
\[ 52.8 = 2\pi r \]

3. **Isolate \( r \)**:
To find \( r \), we first divide both sides of the equation by \( 2\pi \):
\[ r = \frac{52.8}{2\pi} \]

4. **Calculate \( 2\pi \)**:
Using the approximate value of \( \pi \) as \( 3.14 \):
\[ 2\pi \approx 2 \times 3.14 = 6.28 \]

5. **Substitute \( 2\pi \) into the equation**:
Now substitute \( 6.28 \) back into the equation for \( r \):
\[ r = \frac{52.8}{6.28} \]

6. **Perform the division**:
Now, we can calculate the value of \( r \):
\[ r \approx 8.4 \, \text{cm} \]

### Final Answer:
The radius \( r \) of the circle is \( 8.4 \, \text{cm} \).

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