Final answer:
To solve for π in the equation C=2πr, divide both sides by 2r which results in π = C / (2r). This formula indicates that the value of π is the circumference divided by twice the radius. This relationship is fundamental in geometry and used to find a circle's circumference from its radius, and vice versa.
Step-by-step explanation:
To solve for π in the equation C = 2πr, where C is the circumference of a circle and r is the radius of the circle, we want to isolate π on one side of the equation.
Starting with C = 2πr:
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- Divide both sides by 2r to isolate π.
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- The equation becomes π = C / (2r).
This new equation shows that the value of π is equal to the circumference of the circle divided by twice the radius. Since π is a constant approximately equal to 3.14159, this relationship can always be used to find the circumference of a circle when the radius is known, or vice versa.
For example, if a circle has a circumference of C meters and a radius of r meters, π would be equal to the circumference divided by twice the radius, which reflects the proportional relationship between the circumference of a circle and its radius.