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Equation of Circle Reviewer
and Interactive Calculator

Find the equation of a circle given three points P1 (0,0), P2(0,4), and
P3(-4,0) on the circle.

Point 1 x , y

Point 2 x , y

Point 3 x , y

( x - )2 + ( y - ) 2 = ANSWER

Center of the circle (h,k)

Answer, h or x =

Answer, k or y =

radius of the circle, r

( - )2 + ( - )2 = r2 , Using Point 1 coordinates.
The radius, r2 =

The radius, r =

Memory recall lesson learned about equation of a circle. Then memory recall lesson learned about binomial expansion.

Equation 1: ( - h )2 + ( - k )2 = r2, Using Point 1.

Binomial Expansion: - h + h2 + - k + k2 = r2

Equation 2: ( - h )2 + ( - k )2 = r2 , Using Point 2.

Binomial Expansion: - h + h2 + - k + k2 = r2

Equation 1, r2 = Equation 2, r2

- h + h2 - k + k2 = - h + h2 - k + k2

Equation 3, - h = k

Equation 4: ( - h )2 + ( - k )2 = r2, Using Point 3

- h + h2 - - k + k2 = r2

Equation 1, r2 = Equation 4, r2

- h + h2 - k + k2 = - h + h2 - k + k2

Equation 5, - h = k

h + k = Equation 3

h + k = Equation 5

Memory recall lesson learned about two simultaneous equations.

You need to use your laptop because it is slow in smartphone or tablet



Equation of a circle given center and a point



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