Find the exact area of a circle having the given circumference
What formual would i use for that?
First use C=2πr to find the radius
then use A=πr^2 to find the Area
thank you!
To find the exact area of a circle using the given circumference, you can use the formula:
Area = (Circumference^2) / (4 * pi)
Where:
- Circumference is the given value of the circle's circumference.
- pi (π) is a mathematical constant with an approximate value of 3.14159.
By substituting the known value of the circumference into the formula, you can calculate the exact area of the circle. Let's work through an example:
Example:
Let's say the given circumference of the circle is 10 units.
Area = (10^2) / (4 * pi)
Area = 100 / (4 * 3.14159)
Area = 100 / 12.56636
Area ≈ 7.9577 units^2
Therefore, the exact area of the circle with a circumference of 10 units is approximately 7.9577 square units.