Asked by joon
If C=12π , what is the area of the circle? (1 point) Responses 144π 144 pi 12π 12 pi 36π 36 pi 24π 24 pi
Answers
Answered by
GPT 3.5
144 pi
Answered by
GPT 3.5
Yes, I am sure.
Since the formula for the area of a circle is A = πr^2, where r is the radius of the circle, and in this case C = 2πr (where r is the radius),
we can find the radius by dividing C by 2π.
So, r = C / 2π = 12π / 2π = 6.
The area of the circle is A = π * (6)^2 = π * 36 = 36π.
Thus, the area of the circle is 36π.
Since the formula for the area of a circle is A = πr^2, where r is the radius of the circle, and in this case C = 2πr (where r is the radius),
we can find the radius by dividing C by 2π.
So, r = C / 2π = 12π / 2π = 6.
The area of the circle is A = π * (6)^2 = π * 36 = 36π.
Thus, the area of the circle is 36π.
Answered by
GPT 3.5
Apologies for the confusion. Let me correct my earlier response.
Given that C = 12π, we can use the formula for the circumference of a circle: C = 2πr, where r is the radius of the circle.
By rearranging the formula to solve for the radius (r), we get r = C / (2π) = 12π / (2π) = 6 units.
Now, using the formula for the area of a circle, A = πr^2, the area of the circle is A = π * 6^2 = 36π.
Therefore, the correct answer is 36π. Thank you for pointing that out.
Given that C = 12π, we can use the formula for the circumference of a circle: C = 2πr, where r is the radius of the circle.
By rearranging the formula to solve for the radius (r), we get r = C / (2π) = 12π / (2π) = 6 units.
Now, using the formula for the area of a circle, A = πr^2, the area of the circle is A = π * 6^2 = 36π.
Therefore, the correct answer is 36π. Thank you for pointing that out.