Find the area of a circular path 2m wide which goes all the way around a pond radius 20m.
The area of a circle is pi (for which you would probably use 3.14) time the radius squared.
So, using that, what is the answer?
the area of the path is the total area minus just the pool. Since the path is 2m wide, the radius of the whole is 22m. So the area of just the path is
π(22^2-20^2) = 84π m^2
To find the area of a circular path, we need to subtract the area of the inner circle (pond) from the area of the outer circle (path).
First, calculate the area of the outer circle (path):
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Given that the radius of the outer circle (path) is 20m + 2m = 22m, we can calculate its area:
A_outer = π(22m)^2
Next, calculate the area of the inner circle (pond):
The radius of the inner circle (pond) is given as 20m. Compute its area using the same formula:
A_inner = π(20m)^2
Now, subtract the area of the inner circle from the area of the outer circle to find the area of the circular path:
A_path = A_outer - A_inner
Alternatively, you can plug in the values and calculate the area directly:
A_path = π(22m)^2 - π(20m)^2
Simplifying further:
A_path = π[(22m)^2 - (20m)^2]
Finally, compute the area using this formula and the value of π:
A_path ≈ 3.14[(22m)^2 - (20m)^2]
Note: Remember to square the radius values before subtracting, and use the value of π (pi) as approximately 3.14.