SOLUTION: A circle is centered at the origin and contains the point (3,4). What is the circumference of the circle in terms of pi?

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Question 410443: A circle is centered at the origin and contains the point (3,4). What is the circumference of the circle in terms of pi?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
One of the points on the circle is (3,4), which means that the segment determined by the points (0,0) and (3,4) is a radius of the circle. Using the distance formula,

r+=+sqrt%28%283-0%29%5E2+%2B+%284-0%29%5E2%29+=+5, so the circumference of the circle is 2%2Api%2Ar = 2%2Api%2A5 = 10%2Api.