Diameter of a circular garden is 9.8 m. Find its area.

Options

A. `75.46m^2`
B. `74.46m^2`
C. `72.46m^2`
D. `73.46m^2`

Explanation

To find the area of a circular garden with a diameter of 9.8 meters, we can follow these steps:

### Step 1: Find the Radius
The radius (r) of a circle is half of the diameter (d).

Given:
- Diameter (d) = 9.8 m

To find the radius:
\[ r = \frac{d}{2} = \frac{9.8 \, \text{m}}{2} = 4.9 \, \text{m} \]

### Step 2: Use the Area Formula
The area (A) of a circle is calculated using the formula:
\[ A = \pi r^2 \]
We will use \( \pi \approx \frac{22}{7} \) for our calculations.

### Step 3: Calculate \( r^2 \)
Now, we need to calculate \( r^2 \):
\[ r^2 = (4.9 \, \text{m})^2 = 4.9 \times 4.9 \]
Calculating \( 4.9 \times 4.9 \):
- \( 4.9 \times 4.9 = 24.01 \, \text{m}^2 \)

### Step 4: Calculate the Area
Now, substitute \( r^2 \) into the area formula:
\[ A = \pi r^2 = \frac{22}{7} \times 24.01 \]
To calculate this:
1. First, calculate \( 22 \times 24.01 \):
\[ 22 \times 24.01 = 528.22 \]
2. Now divide by 7:
\[ A = \frac{528.22}{7} \approx 75.46 \, \text{m}^2 \]

### Final Answer
The area of the circular garden is approximately:
\[ \text{Area} \approx 75.46 \, \text{m}^2 \]

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