Let's solve the problem step by step.

Given:

• Radius $r = 5$ meters.

(a) Circumference of the circle:

The formula for the circumference $C$ of a circle is: $C = 2 \pi r$ Substitute $r = 5$ m: $C = 2 \pi \times 5 = 10 \pi \text{ meters}$

(b) Area of the circle:

The formula for the area $A$ of a circle is: $A = \pi r^2$ Substitute $r = 5$ m: $A = \pi \times 5^2 = \pi \times 25 = 25 \pi \text{ square meters}$

Final Answers:

• Circumference: $10 \pi$ meters.
• Area: $25 \pi$ square meters.

Do you have any questions or would you like further explanation?

Here are 5 related questions to consider:

1. How would the circumference change if the radius was doubled?
2. What is the diameter of the circle with a radius of 5 meters?
3. How would the area change if the radius was halved?
4. Can you calculate the exact numerical values of the circumference and area if $\pi$ is approximated to 3.14?
5. What is the relationship between the radius and the area of a circle?

Tip: Always remember to keep units consistent when solving geometry problems, especially for measurements like area and circumference.