Circle O has a circumference of 220 meters. What is the approximate area of circle O? Show your work.
2 pi r = 220
so
r = 110/pi
A = pi r^2
A = pi (110)^2/pi^2 = 12100/pi = 3854 m^2
How would the area be 3845 m^2 is the cicumference is 220 m?
I understand your work now. However, when i divided 12100 by pi i got 3851.549623. If i rounded it would be 3852 m instead of 3845 m.
It said approximate so I used 3.14 for pi
To find the approximate area of a circle, we need to know its radius or diameter. Since the given information is the circumference, we can use the formula relating the circumference (C) and the radius (r) of a circle:
C = 2πr,
where π is a mathematical constant approximately equal to 3.14159.
In this case, the circumference is given as 220 meters, so we can set up the equation:
220 = 2πr.
To find the radius, we can solve for r:
r = 220 / (2π).
Now that we have the radius, we can calculate the area of the circle using the formula:
A = πr^2.
Substituting the value of r we found earlier, we get:
A = π * (220 / (2π))^2.
Simplifying:
A = π * (110 / π)^2.
A = 110^2.
A = 12,100.
Therefore, the approximate area of circle O is 12,100 square meters.
Please note that since we are approximating π, the result is an approximation as well.