How do you find general form of circle with center is (2,-3) and passes through (2, 7)?

1 Answer
Jun 6, 2018

Answer:

Equation of the circle is #(x – 2)^2 + (y +3)^2 = 100#

Explanation:

The center-radius form of the circle equation is

#(x – h)^2 + (y – k)^2 = r^2#, with the center being at the point

#(h=2, k=-3)# and the radius being #r#. The circle passes

through point #A(2,7) and C( 2,-3)# is the center .

Distance formula is #AC=r= sqrt ((x_1-x_2)^2+(y_1-y_2)^2#

#r^2=(2-2)^2+(7-(-3))^2=100# Hence equation of the

circle is #(x – 2)^2 + (y +3)^2 = 100#

graph{(x-2)^2+(y+3)^2=100 [-40, 40, -20, 20]}