SOLUTION: Write the standard form of the equation of the specified circle. Center: (-4, 9); solution point: (-9, -3)

Question 776537: Write the standard form of the equation of the specified circle.
Center: (-4, 9); solution point: (-9, -3)
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

with radius

Presuming that what you mean by "solution point" is a point that is on the circle, you need to use the distance formula to find the measure of the radius since the distance from the center to any point on the circle is the radius:

where

and

are the coordinates of the given points.

However, you can save yourself some work if you use a modified version of the distance formula -- don't take the square root just to square it right away again.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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