SOLUTION: Dear Sir/Madam; A pleasant day! Can you please help me with this word problem? Find the equation of a circle in center radius form and standard form. Given the following c

Question 784559: Dear Sir/Madam;
A pleasant day! Can you please help me with this word problem?
Find the equation of a circle in center radius form and standard form. Given the following conditions:
a) center at (2,3) and a line tangent to the circle with an equation of 12x+5y-26=0
Thank you very much!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The distance from a point to a line with the equation can be calculated ad

If the line with equation is tangent to the circle, the distance from the line to the center of the circle is the radius of the circle.
, , , has ,
That distance is

h distance is the radius of the circle, so the equation of the circle in center-radius form is
-->
That is what I have seen called "standard form".
The other popular form is
--> --> --> , and I've seen that called "general form".
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