Question

Determine the equation of the circle graphed below

Answer 1

(x-5)^2 + (y-6)^2 = 13.03

Explanation:

use distance formula to find radius :

d=
`\sqrt{(7-5)^(2) + (9-6)^(2) }`

d = 3.61 rounded

so, r = 3.61 and
`r^(2)` = 13.03

Circle formula = ( x - h )^2 + ( y - k )^2 = r^2

(h,k) is the center

substitute the knowns

(x-5)^2 + (y-6)^2 = 13.03