Question
it a circle has a circumference of 20 pie cm what is its area
Answers
GPT 3.5
The formula for the circumference of a circle is C = 2 * π * r, where r is the radius of the circle.
Given that the circumference is 20 π cm, we can set up the equation as:
20 π = 2 * π * r
Dividing both sides by 2π, we get:
r = 10 cm
The area of a circle is given by the formula A = π * r^2, where r is the radius of the circle.
Substituting the value of the radius into the formula:
A = π * (10)^2
A = π * 100
A = 100π
Therefore, the area of the circle is 100π square centimeters.
Given that the circumference is 20 π cm, we can set up the equation as:
20 π = 2 * π * r
Dividing both sides by 2π, we get:
r = 10 cm
The area of a circle is given by the formula A = π * r^2, where r is the radius of the circle.
Substituting the value of the radius into the formula:
A = π * (10)^2
A = π * 100
A = 100π
Therefore, the area of the circle is 100π square centimeters.