From the formulas for the area of a circle s = nr ^ 2 and the circumference of a circle C = 2пr

| May 25, 2021 | education

From the formulas for the area of a circle s = nr ^ 2 and the circumference of a circle C = 2пr, express the length of a circle C through the area of a circle S.

In the problem statement, we are given formulas for the area of a circle S and the length of a circle C:
S = πr²,
C = 2πr.
We need to express the circumference in terms of the area. To do this, you need to rewrite the formula for the circumference of a circle so that it contains the formula for calculating the area of a circle, πr².
С = 2πr² / r,
we have multiplied and divided 2πr by r, and the result of the expression does not change. Substitute instead of πr², the area S:
C = 2S / r.
We have expressed the length of the circle C in terms of the area S.
Answer: The formula for expressing the circumference of a circle C through the area S is as follows: C = 2S / r.



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