To find the circumference and area of a circle with a diameter of 14 inches, we can use the following formulas:

1. Circumference $(C)$: $C = \pi \times d$ where $d = 14$ inches.

   Substituting the values: $C = \pi \times 14 \approx 43.98 \text{ inches}$

   Rounding to the nearest tenth: $C \approx 44.0 \text{ inches}$

2. Area $(A)$: $A = \pi \times r^2$ where $r$ is the radius. Since the diameter is 14 inches, the radius $r = \frac{14}{2} = 7$ inches.

   Substituting the values: $A = \pi \times 7^2 = \pi \times 49 \approx 153.94 \text{ square inches}$

   Rounding to the nearest tenth: $A \approx 153.9 \text{ square inches}$

Answers:

• Circumference: 44.0 inches
• Area: 153.9 square inches

Would you like further details on this calculation, or do you have any other questions?

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Here are some related questions for deeper understanding:

1. What would the circumference be if the diameter were doubled?
2. How would the area change if the radius were tripled?
3. Can you express the answers in terms of $\pi$ instead of approximating it?
4. How does the area relate to the square of the radius, and why?
5. What are the practical applications of calculating circumference and area?

Tip: Remember that the area formula $\pi r^2$ depends heavily on the radius, making small changes in radius lead to large area differences due to the square factor.