If the circumference of circle is 4.4 m, then the area of the circle (in `m^2`) is :

Options

A. `49//pi `
B. `49pi `
C. `4.9 pi `
D. none of these

Answer

To find the area of the circle given its circumference, we can follow these steps:

### Step 1: Use the formula for circumference
The formula for the circumference \( C \) of a circle is given by:
\[ C = 2\pi r \]
where \( r \) is the radius of the circle.

### Step 2: Substitute the given circumference
We know the circumference is \( 4.4 \) m. Thus, we can set up the equation:
\[ 2\pi r = 4.4 \]

### Step 3: Solve for the radius \( r \)
To find \( r \), we can rearrange the equation:
\[ r = \frac{4.4}{2\pi} \]
Substituting \( \pi \) with \( \frac{22}{7} \):
\[ r = \frac{4.4}{2 \times \frac{22}{7}} = \frac{4.4 \times 7}{2 \times 22} \]
Calculating the values:
\[ r = \frac{30.8}{44} = 0.7 \text{ m} \]

### Step 4: Use the radius to find the area
The formula for the area \( A \) of a circle is given by:
\[ A = \pi r^2 \]
Now substituting the value of \( r \):
\[ A = \pi (0.7)^2 = \pi \times 0.49 \]

### Step 5: Calculate the area
Thus, the area of the circle is:
\[ A = 0.49\pi \text{ m}^2 \]

### Conclusion
The area of the circle is approximately \( 0.49\pi \) m². If we need a numerical value, using \( \pi \approx 3.14 \):
\[ A \approx 0.49 \times 3.14 \approx 1.54 \text{ m}^2 \]