find the stander equation of the circle having a diameter the segment joining (2,-3) and (6,5) .

shgg111 Nov 18, 2019

#1**+2 **

The midpoint of the two points will be the center of the circle

So

( [ 2 + 6 ] / 2 , [ -3 + 5 ] /2 ) = ( 4 , 1) is the center

To find the radius^2 use the center and either point...so we have

(4 - 6)^2 + ( 1 - 5)^2 = r^2

(2)^2 + (4)^2 = r^2

4 + 16 = r^2

20 = r^2

So....the equation is

(x - 4)^2 + ( y - 1)^2 = 20

See the graph here : https://www.desmos.com/calculator/xl9ckproc3

CPhill Nov 18, 2019