SOLUTION: Write the equation in standard form for the circle with center (0,9) passing through (4,33/2)

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Question 1083072: Write the equation in standard form for the circle with center (0,9) passing through (4,33/2)
Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The radius is needed and the distance formula will find it.
sqrt{(4^2+7.5^2)=sqrt(72.25)=8.5. Actually, don't need the square root since the equation of a circle deals with the square of the radius.
x^2+(y-9)^2=72.25

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The standard form of an equation of a circle centered at and with radius is:



You are given the center and a point on the circle. Use the given coordinates of the center directly and calculate the radius by using the distance formula applied to the two given points.

John

My calculator said it, I believe it, that settles it


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