Question

A circle has a radius of 4.5 centimeters. Which measurement is closest to the circumference of the circle in centimeters? 14.13 cm 28.26 cm 1 - 63.59 cm 56.52 cm step by step on how you got the answer

Answer 1

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

\[
C = 2\pi r
\]

where:
- \( C \) is the circumference,
- \( r \) is the radius, and
- \( \pi \) (pi) is approximately 3.14.

### Step 1: Identify the radius
Given:
- Radius \( r = 4.5 \) cm

### Step 2: Plug the radius into the circumference formula
Using the formula for circumference:

\[
C = 2\pi(4.5)
\]

### Step 3: Calculate \( 2 \times 4.5 \)
First, calculate \( 2 \times 4.5 \):

\[
2 \times 4.5 = 9
\]

### Step 4: Multiply by \( \pi \)
Next, multiply this result by \( \pi \):

\[
C = 9\pi
\]

Using \( \pi \approx 3.14 \):

\[
C \approx 9 \times 3.14
\]

### Step 5: Calculate \( 9 \times 3.14 \)
Now calculate the multiplication:

\[
9 \times 3.14 = 28.26 \text{ cm}
\]

### Step 6: Compare with the options
The closest measurement to the circumference of the circle in centimeters is:

**28.26 cm**

Thus, the final answer is **28.26 cm**.