Circle O has a circumference of 220 meters. What is the approximate area of circle O? Show your work.
r = C/2pi
a = pi r^2 = pi * (C/2pi)^2 = C^2/(4pi)
r+cpir
To find the approximate area of circle O, we can use the formula:
Area = π * r^2
Where π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
To find the radius (r), we can use the circumference (C) and the formula:
Circumference = 2 * π * r
Given that the circumference of circle O is 220 meters, we can plug this value into the formula and solve for r:
220 = 2 * 3.14159 * r
Dividing both sides of the equation by (2 * 3.14159) gives:
r = 220 / (2 * 3.14159)
Calculating this, we find that the radius (r) is approximately 34.9087 meters.
Now that we have the radius, we can calculate the area using the formula mentioned earlier:
Area = 3.14159 * (34.9087)^2
Evaluating this expression, we find that the approximate area of circle O is approximately 3822.44 square meters.