A Circular flower bed is surrounded by a path 5 m wide. The diameter of flower bed is 65 m. What is the area of the path?

the path's area is the total area minus the flower bed's area:

π(65/2 + 5)^2 - π(65/2)^2 ≈ 1100m^2

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To find the area of the path, we need to determine the difference between the area of the outer circle (which includes both the flower bed and the path) and the area of the flower bed.

Let's start by finding the area of the outer circle, which can be calculated using the formula:

Area = π * radius^2

The given diameter of the flower bed is 65 m, so the radius of the outer circle will be half of that, which is 65 / 2 = 32.5 m. Therefore, the area of the outer circle is:

Area_outer_circle = π * (32.5)^2

To find the area of the flower bed, we need to subtract the area of the flower bed from the area of the outer circle. The diameter of the flower bed is the same as the radius of the outer circle (since the flower bed is in the middle). Therefore, the radius of the flower bed is also 32.5 m. Thus, the area of the flower bed is:

Area_flower_bed = π * (32.5)^2

Finally, to find the area of the path, we subtract the area of the flower bed from the area of the outer circle:

Area_path = Area_outer_circle - Area_flower_bed

Now, you can calculate the area of the path by substituting the values into the equations and performing the calculations.

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