The area of a circle is numerically equal to its circumference. Find its area (Take `pi=3.14`).

Answer

To solve the problem where the area of a circle is numerically equal to its circumference, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formulas**:
- The area \( A \) of a circle is given by the formula:
\[ A = \pi r^2 \]
- The circumference \( C \) of a circle is given by the formula:
\[ C = 2\pi r \]

2. **Set the area equal to the circumference**:
Since the area is numerically equal to the circumference, we can write:
\[ \pi r^2 = 2\pi r \]

3. **Simplify the equation**:
We can divide both sides of the equation by \( \pi \) (assuming \( \pi \neq 0 \)):
\[ r^2 = 2r \]

4. **Rearrange the equation**:
Rearranging gives us:
\[ r^2 - 2r = 0 \]

5. **Factor the equation**:
Factoring out \( r \):
\[ r(r - 2) = 0 \]

6. **Solve for \( r \)**:
This gives us two solutions:
\[ r = 0 \quad \text{or} \quad r = 2 \]
Since \( r = 0 \) does not make sense in this context, we take:
\[ r = 2 \]

7. **Calculate the area**:
Now, we can find the area using the radius \( r = 2 \):
\[ A = \pi r^2 = 3.14 \times (2^2) = 3.14 \times 4 \]
\[ A = 12.56 \]

8. **State the final answer**:
Therefore, the area of the circle is:
\[ \text{Area} = 12.56 \, \text{square units} \]