Answer: 59.66
Explanation:
To find the area of the path inside the circular park, we need to calculate the difference between the areas of the outer circle (park) and the inner circle (path).
The area of a circle can be calculated using the formula:
Area = π * r^2
where π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
Given that the diameter of the park is 20 m, we can find the radius by dividing the diameter by 2:
Radius of the park = 20 m / 2 = 10 m
The radius of the inner circle (path) can be found by subtracting the width of the path from the radius of the park:
Radius of the path = Radius of the park - Width of the path
Given that the width of the path is 1 m, the radius of the path is:
Radius of the path = 10 m - 1 m = 9 m
Now we can calculate the areas of both circles:
Area of the park = π * (Radius of the park)^2
= 3.14 * (10 m)^2
= 314 m^2
Area of the path = π * (Radius of the path)^2
= 3.14 * (9 m)^2
= 254.34 m^2
Finally, to find the area of the path, we subtract the area of the path from the area of the park:
Area of the path = Area of the park - Area of the path
= 314 m^2 - 254.34 m^2
= 59.66 m^2
Therefore, the area of the path inside the circular park is 59.66 square meters.