Circle O has a circumference of 220 meters. What is the approximate area of circle O? Show your work.
C = pi * d
220 = 3.14d
220/3.14 = d
70.06 = d
A = pi * r^2
A = 3.14 * 35.03^2
A = ?
To find the approximate area of circle O, we need to know the radius of the circle first.
The formula to find the circumference of a circle is given by:
C = 2πr
where C is the circumference and r is the radius.
In this case, we are given that the circumference of circle O is 220 meters. Plugging in this value into the formula, we get:
220 = 2πr
To find the radius, we can rearrange the equation:
r = 220 / (2π)
r = 110 / π
Now that we know the radius, we can calculate the area of the circle. The formula to find the area of a circle is given by:
A = πr^2
where A is the area and r is the radius.
Plugging in the value of the radius we found earlier, we get:
A ≈ π * (110 / π)^2
A ≈ π * (110^2 / π^2)
A ≈ π * (12100 / π^2)
A ≈ 12100 / π
Now, to approximate the value of the area, we can use the approximate value of π as 3.14:
A ≈ 12100 / 3.14
A ≈ 3856.051
Therefore, the approximate area of circle O is approximately 3856.051 square meters.