The area of a circle is `301.84 cm^(2)`. Calculate radius of circle

Answer

To find the radius of a circle when the area is given, we can use the formula for the area of a circle:

### Step-by-Step Solution:

1. **Write down the formula for the area of a circle**:
\[ A = \pi r^2 \]
where \( A \) is the area and \( r \) is the radius.

2. **Substitute the given area into the formula**:
Given that the area \( A = 301.84 \, \text{cm}^2 \), we can write:
\[ 301.84 = \pi r^2 \]

3. **Use the value of \( \pi \)**:
We can use \( \pi \approx \frac{22}{7} \) for calculations. Thus, we rewrite the equation:
\[ 301.84 = \frac{22}{7} r^2 \]

4. **Cross-multiply to solve for \( r^2 \)**:
Multiplying both sides by \( 7 \) gives:
\[ 301.84 \times 7 = 22 r^2 \]
Calculating \( 301.84 \times 7 \):
\[ 2112.88 = 22 r^2 \]

5. **Divide both sides by \( 22 \)**:
\[ r^2 = \frac{2112.88}{22} \]
Calculating this gives:
\[ r^2 = 96.04 \]

6. **Take the square root to find \( r \)**:
\[ r = \sqrt{96.04} \]
Calculating the square root gives:
\[ r \approx 9.8 \, \text{cm} \]

### Final Answer:
The radius of the circle is approximately \( 9.8 \, \text{cm} \).

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