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I can see that the question is about finding the circumference and area of a circle with a radius of 8 cm. Let's go through the steps to solve both parts of the problem:

1. **Circumference of the circle (in cm):**

   The formula for the circumference \( C \) of a circle is:
   \[
   C = 2\pi r
   \]
   where \( r \) is the radius. Given that the radius \( r = 8 \) cm:

   - Exact value:
   \[
   C = 2\pi(8) = 16\pi \text{ cm}
   \]
   - Approximation (using \( \pi \approx 3.1416 \)):
   \[
   C \approx 16 \times 3.1416 = 50.27 \text{ cm}
   \]
   So, the exact circumference is \( 16\pi \) cm, and the approximation is 50.27 cm, which is correctly shown in your work.

2. **Area of the circle (in cm²):**

   The formula for the area \( A \) of a circle is:
   \[
   A = \pi r^2
   \]
   where \( r \) is the radius. Given that the radius \( r = 8 \) cm:

   - Exact value:
   \[
   A = \pi(8)^2 = 64\pi \text{ cm}^2
   \]
   - Approximation (using \( \pi \approx 3.1416 \)):
   \[
   A \approx 64 \times 3.1416 = 201.06 \text{ cm}^2
   \]
   So, the exact area should be \( 64\pi \) cm², and the approximation is 201.06 cm².

**Conclusion:**
- The exact value for the area should be \( 64\pi \), not \( 8\pi \).
- The approximation should be around 201.06 cm², not 25.12 cm².

Would you like further details or explanations?

Here are 5 related questions for practice:
1. What is the circumference of a circle with a radius of 5 cm?
2. How do you find the area of a circle with a diameter of 10 cm?
3. If a circle has a circumference of 31.42 cm, what is its radius?
4. What happens to the area if the radius of a circle is doubled?
5. Can you find the perimeter of a semicircle with a radius of 7 cm?

**Tip:** Always use the full form of \( \pi \) for exact answers, and approximate it to 3.1416 when necessary for decimal results.

Consider the following figure. Give both exact values and approximations to the nearest hundredth.
(a) Find the circumference (in cm) of the figure with a radius of 8 cm.
(b) Find the area (in cm²) of the figure.

Solve a geometry problem involving the calculation of the circumference and area of a circle with a radius of 8 cm. Learn how to find the exact values (using π) and approximations to the nearest hundredth using key circle formulas.

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