a circular flower bed is surrounded by a path 3m wide the diameter is 44m what is the area of this path
Which diameter is 44, the flower bed or the path?
Assuming the bed has diameter 44m, the bed+path has diameter 50m.
π(25^2-22^2)=141π m^2
If the whole thing has diameter 44, then adjust as needed.
To find the area of the path surrounding the circular flower bed, we need to subtract the area of the flower bed from the area of the larger circle that includes the flower bed and the path.
First, let's find the area of the flower bed:
The diameter of the flower bed is given as 44m, so the radius (r) of the flower bed is half of the diameter, which is 44m / 2 = 22m.
The area of the flower bed can be calculated using the formula for the area of a circle: A = π * r^2, where π (pi) is approximately 3.14159.
A_flower_bed = π * (22m)^2
A_flower_bed = 3.14159 * 484m^2
A_flower_bed ≈ 1520.53m^2
Next, let's calculate the area of the larger circle that includes the flower bed and the path:
The radius of the larger circle is the sum of the radius of the flower bed (22m) and the width of the path (3m). So, the radius of the larger circle is 22m + 3m = 25m.
The area of the larger circle can be calculated using the same formula as before:
A_larger_circle = π * (25m)^2
A_larger_circle = 3.14159 * 625m^2
A_larger_circle ≈ 1963.50m^2
Finally, to find the area of the path, we subtract the area of the flower bed from the area of the larger circle:
A_path = A_larger_circle - A_flower_bed
A_path ≈ 1963.50m^2 - 1520.53m^2
A_path ≈ 442.97m^2
Therefore, the area of the path surrounding the circular flower bed is approximately 442.97 square meters.