A circle can be cut into smaller and smaller slices and rearranged in the shape of a parallelogram as shown.
The formula for finding the area, A, of a parallelogram with base b and height h is shown.
Which equation represents the circumference of a circle in terms of its area?
The formula for the area, A, of a circle is A = πr^2, where r is the radius of the circle.
To find the circumference of a circle in terms of its area, we first need to find the radius in terms of the area. Rearranging the formula for the area of a circle, we get:
r = √(A/π)
The circumference of a circle is given by the formula C = 2πr. Substituting the expression for r from above into this formula, we get:
C = 2π√(A/π)
Therefore, the equation representing the circumference of a circle in terms of its area is C = 2π√(A/π).