https://file.aiquickdraw.com/mathbot/file/17261119592477t4cjjp4.jpg

To solve the problem based on the image you provided, let's go step by step:

### (a) **Find the circumference (in cm) of the circle.**
The formula for the circumference of a circle is:
\[
C = 2\pi r
\]
Where:
- \( r \) is the radius of the circle, given as \( 5 \, \text{cm} \).

#### Exact value:
For the exact value, we will leave \( \pi \) in the equation:
\[
C_{\text{exact}} = 2\pi \times 5 = 10\pi \, \text{cm}
\]

#### Approximation:
We approximate \( \pi \approx 3.1416 \), so:
\[
C_{\text{approximation}} = 10 \times 3.1416 = 31.416 \, \text{cm}
\]
Rounding to the nearest hundredth, we get:
\[
C_{\text{approximation}} \approx 31.42 \, \text{cm}
\]

### (b) **Find the area (in cm²) of the circle.**
The formula for the area of a circle is:
\[
A = \pi r^2
\]
Where:
- \( r \) is the radius, which is \( 5 \, \text{cm} \).

#### Exact value:
The exact value for the area is:
\[
A_{\text{exact}} = \pi \times (5^2) = 25\pi \, \text{cm}^2
\]

#### Approximation:
Using \( \pi \approx 3.1416 \), we calculate:
\[
A_{\text{approximation}} = 25 \times 3.1416 = 78.54 \, \text{cm}^2
\]
Thus, the approximate area is \( 78.54 \, \text{cm}^2 \).

### Final Answers:
1. **Circumference:**
   - Exact: \( 10\pi \, \text{cm} \)
   - Approximation: \( 31.42 \, \text{cm} \)

2. **Area:

Find the exact and approximate values for the circumference and area of a circle with a radius of 5 cm.

Learn how to calculate the exact and approximate values for the circumference and area of a circle with a radius of 5 cm. This problem involves basic geometric concepts and is suitable for students in Grades 6-8.

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