The circumference of a circle varies directly with the diameter. If the circumference is 18.85 inches for a circle with a diameter of 6 inches, what is the circumference of a circle with a diameter of 11 inches?

1 Answer
Apr 8, 2018

11 #pi#
OR
approximately
34.558333...

Explanation:

What is pi? Pi is the number you multiply the diameter by to get to the circumference for any circle. "The circumference varies directly with the diameter". That means there's a certain number the input, the diameter, has to be multiplied by to get the circumference, the output.

You might remember a few digits of Pi, but I think the point of this question is to figure out something close to Pi by using the numbers they give us.

For one circle , the circumference is 18.85" and the diameter is 6". To figure out the value of pi that was used here, divide the circumference by diameter.

Take this value of pi and then multiply the diameter of the second circle by it. That's how you get the answer.