Ask AI: if the r= 6 ft, then C=37.68 and A=

Question

if the r= 6 ft, then C=37.68 and A=

gpt-4.1 · Accepted Answer

Given:

- Radius, $ r = 6 $ ft

We are asked for the **circumference (C)** and **area (A)** of a circle.

You provided:
- $ C = 37.68 $ (which we can check).

**Formulas:**
- Circumference: $ C = 2\pi r $
- Area: $ A = \pi r^2 $

---

### 1. Circumference

$$
C = 2\pi r = 2 \times \pi \times 6 \approx 2 \times 3.14 \times 6 \approx 37.68\, \text{ft}
$$

Your value for $ C $ is correct.

---

### 2. Area

$$
A = \pi r^2 = \pi \times 6^2 = \pi \times 36 \approx 3.14 \times 36 \approx 113.04\, \text{ft}^2
$$

(Using more precision for $\pi$:

$$
A = 3.1416 \times 36 \approx 113.10\, \text{ft}^2
$$
)

---

## **Final Answers**

- Circumference, $ C = 37.68\, \text{ft} $
- Area, $ A = 113.10\, \text{ft}^2 $ (rounded to two decimal places)

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