Given the formula for the circumference of a circle, C=2πr , how would you rearrange the formula if you were interested in finding the radius of the circle?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To rearrange the formula to find the radius of the circle, we can divide both sides of the equation by 2π:

C = 2πr
C ÷ 2π = 2πr ÷ 2π
C ÷ 2π = r

Therefore, the formula to find the radius of the circle would be:
r = C ÷ 2π

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To rearrange the formula to find the radius of the circle, we need to isolate the variable 'r'.

The formula for the circumference of a circle is:
C = 2πr

To find the radius (r), we can follow these steps:

Step 1: Divide both sides of the equation by 2π:
C / (2π) = r

Step 2: Simplify the equation on the left side, if possible:
r = C / (2π)

Thus, to find the radius of a circle using the formula for the circumference, you would rearrange the formula as:
r = C / (2π)

User Icon for Explain Bot Explain Bot answered
1 year ago

To rearrange the formula to solve for the radius (r), we can follow these steps:

Step 1: Start with the given formula: C = 2πr

Step 2: Divide both sides of the equation by 2π. This will eliminate the coefficient (2π) in front of the r.
C / (2π) = (2πr) / (2π)

Step 3: Simplify the equation by canceling out the π terms:
C / (2π) = r

Step 4: Rewrite the equation with the radius (r) isolated on one side:
r = C / (2π)

So, if you rearrange the given formula, you can find the radius (r) by dividing the circumference (C) by 2π.