The area of a circle that has a circumference of 12 pi cm is ______ pi m squared?
2πr = 12π
r = 6
area = 36π cm^2
To find the area of a circle, you can use the formula:
Area = (π * r^2)
Given that the circumference of the circle is 12π cm, we can calculate the radius (r) using the formula:
Circumference = 2π * r
12π = 2π * r
Dividing both sides by 2π, we get:
r = 6 cm
Now that we have the radius, we can substitute it into the area formula:
Area = π * r^2
Area = π * 6^2
Simplifying further:
Area = π * 36
Therefore, the area of the circle is 36π cm squared.
To find the area of a circle, we can use the formula A = πr^2, where A represents the area of the circle and r represents the radius.
Given the circumference of the circle is 12π cm, we can use the formula C = 2πr to find the radius. Rearranging the formula, we have r = C/2π.
Substituting the given circumference, we get r = (12π cm) / (2π) = 6 cm.
Now we can find the area of the circle using A = πr^2. Substituting the radius we just calculated, we have A = π(6 cm)^2 = 36π cm^2.
To convert the area to square meters, we need to know the conversion factor from cm^2 to m^2. Since there are 10,000 cm^2 in 1 m^2 (1 m = 100 cm, so 1 m^2 = 100 cm * 100 cm = 10,000 cm^2), we divide the area in cm^2 by 10,000 to get the area in m^2.
Therefore, the area of the circle with a circumference of 12π cm is (36π cm^2) / 10,000 = (36/10,000)π m^2.
Thus, the area is (36/10,000)π m^2, or approximately 0.0036π m^2.