i need someone to explain to me how i got this answer...i know the answer but i need an explanation to the problem...

C=2pi(r)
the answer is r=C/2pi...i need someone to explain it to me..thank you

C = 2pi(r)
Divide both sides by 2pi
C/2pi = r ----> r = C/2pi
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Hope this helps!!

Certainly! The equation C = 2πr represents the circumference of a circle in terms of its radius. To understand how the answer is derived, we can walk through the steps.

1. Start with the equation C = 2πr, where C represents the circumference and r represents the radius of the circle.
2. To isolate the radius variable (r), we need to get rid of the constant term (2π) that is multiplied with it.
3. Divide both sides of the equation by 2π. This step is equivalent to performing the inverse operation of multiplication.
- C/2π = (2πr)/2π
- Simplifying, we get C/2π = r.
4. Hence, C/2π represents the value of r. This is the same as stating that the radius (r) of a circle is equal to the circumference (C) divided by 2π.

In summary, to derive the equation r = C/2π from the equation C = 2πr, we divide both sides of the equation C = 2πr by 2π to isolate the radius variable.