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5 Cards in this Set

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standard circle equation is:

(x-h)^2 + (y-k)^2 = r^2

what two things do we need to find the equation of a circle with two endpoints?

we need (h, k) and radius

how do we find the radius of a circle using two endpoints?

convert the two endpoints to midpoint (h, k) format and insert them into the distance formula to find the radius.

what is the midpoint formula?

(h, k) = ( (x1+x2) / 2 , (y1+y2) / 2 )

what is the distance formula? (for finding r?)

r = √(x1-x2)^2 + (y1-y2)^2