Question
The circumference of a circle is 65π . In terms of pi, what is the area of the circle
Answers
GPT 3.5
The formula for the circumference of a circle is 2πr, where r is the radius of the circle. In this case, the circumference is given as 65π, so we can set up an equation:
2πr = 65π
Dividing both sides by 2π, we get:
r = 65/2
Now, the formula for the area of a circle is πr^2. Substituting the value of r we found earlier:
Area = π(65/2)^2
Area = π(4225/4)
Area = 4225π/4
Therefore, the area of the circle in terms of pi is 4225π/4.
2πr = 65π
Dividing both sides by 2π, we get:
r = 65/2
Now, the formula for the area of a circle is πr^2. Substituting the value of r we found earlier:
Area = π(65/2)^2
Area = π(4225/4)
Area = 4225π/4
Therefore, the area of the circle in terms of pi is 4225π/4.