SOLUTION: Writing the equation of a circle, given the center and the radius; OR writing the equation, given the center and a point on the circle. Choose the one you believe is easier and exp

Algebra ->  Equations -> SOLUTION: Writing the equation of a circle, given the center and the radius; OR writing the equation, given the center and a point on the circle. Choose the one you believe is easier and exp      Log On


   

Question 1077956: Writing the equation of a circle, given the center and the radius; OR writing the equation, given the center and a point on the circle. Choose the one you believe is easier and explain why. Also, give examples to support your point of view. How can you tell from the equation of a circle whether or not a given point lies in the interior of the circle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Center point (h,k), radius r;
Equation is %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2.

Center point, (h,k), point on circle (p,v);
Equation is %28x-h%29%5E2%2B%28y-k%29%5E2=%28h-p%29%5E2%2B%28k-v%29%5E2, which is based on using Distance Formula.

You decide what YOUR response is, and support it.