To calculate the area of the circular patch of soil, we use the formula for the area of a circle:

$A = \pi r^2$

Here:

• $r = 1.75 \, \text{m}$ (the radius)
• $\pi = 3.14$

Step-by-step solution:

1. Square the radius: $r^2 = (1.75)^2 = 3.0625$

2. Multiply by $\pi$: $A = 3.14 \times 3.0625 = 9.621625$

3. Round to two decimal places: $A = 9.62 \, \text{m}^2$

Final Answer:

The area of the circular patch is 9.62 m².

Would you like me to explain any step in detail? Here are some related questions to explore further:

1. How does rounding affect precision in area calculations?
2. What happens if we use a more precise value for $\pi$?
3. How do you calculate the area for an irregular shape instead of a circle?
4. How can you estimate the amount of seeds needed based on the area?
5. What are other practical uses of area calculations in gardening?

Tip: Always double-check your rounding when working with measurements to ensure your result is accurate and practical!