To find the circumference and area of a circle with radius $r = 12 \, \text{ft}$:

Part 1: Circumference

The formula for the circumference $C$ of a circle is: $C = 2 \pi r$ Substituting $r = 12$: $C = 2 \pi \times 12 = 24 \pi$ Using $\pi \approx 3.1416$: $C \approx 24 \times 3.1416 = 75.4 \, \text{ft}$

Part 2: Area

The formula for the area $A$ of a circle is: $A = \pi r^2$ Substituting $r = 12$: $A = \pi \times 12^2 = 144 \pi$ Using $\pi \approx 3.1416$: $A \approx 144 \times 3.1416 = 452.4 \, \text{ft}^2$

So, the answers are:

• Circumference: 75.4 ft
• Area: 452.4 ft²

Would you like further details on the calculations?

1. How to calculate circumference with a different radius.
2. Converting between diameter and radius for circles.
3. Steps to find area for any radius.
4. How to use approximation vs. exact values with $\pi$.
5. Why circle measurements are expressed in feet and square feet.

Tip: Remember, circumference is a linear measure, while area is squared.