Calculating the Area of the Path

To find the area of the path around the circular garden, we need to first calculate the area of the larger circle that includes both the garden and the path, and then subtract the area of the garden itself.

Calculating the Area of the Larger Circle

The diameter of the garden is 140 m, so the radius of the larger circle is half of that, which is 70 m. To find the area of the larger circle, we use the formula for the area of a circle:
Area = πr^2
Area = π(70)^2
Area = 4900π m^2

Calculating the Area of the Garden

The diameter of the garden is the diameter of the larger circle, so the radius of the garden is 70 m - 3.5 m = 66.5 m.
To find the area of the garden, we use the formula for the area of a circle:
Area = πr^2
Area = π(66.5)^2
Area ≈ 13907.25 m^2

Calculating the Area of the Path

Now that we have the area of the larger circle and the area of the garden, we can subtract the area of the garden from the area of the larger circle to find the area of the path.
Area of the path = Area of the larger circle - Area of the garden
Area of the path = 4900π m^2 - 13907.25 m^2
Area of the path ≈ 3502.75 m^2

Therefore, the area of the path around the circular garden is approximately 3502.75 square meters.