Question

A circle has circumference $44\pi$ cm. What is its area?

• A. $484\pi \text{ cm}^2$
• B. $484 \text{ cm}^2$
• C. $176\pi \text{ cm}^2$
• D. $176 \text{ cm}^2$

Answer 1

Answer:

$484\pi \text{ cm}^2$

The correct answer is Option A ($484\pi \text{ cm}^2$).

To find the area, you first need to determine the radius of the circle using the circumference provided.

---

Step-by-Step Calculation

1. Find the Radius ($r$):
The formula for circumference is $C = 2\pi r$.

• Given $C = 44\pi$

• $2\pi r = 44\pi$

• Divide both sides by $2\pi$:

• $r = 22 \text{ cm}$

2. Find the Area ($A$):
The formula for area is $A = \pi r^2$.

• $A = \pi \times (22)^2$

• $22 \times 22 = 484$

• $A = 484\pi \text{ cm}^2$