A circle in the coordinate plane is tangent to the y-axis at the point (0,5) and passes through the point (12,0). Find the radius of the circle.
+128407 Since the circle is tangent at (0,5) the center is (a,5)
The distance from this point to the gfiven points is equal.....so we can solve the simplified distance^2 formula for a
a^2 = (12 -a)^2 + ( 5)^2 simplify
a^2 = a^2 - 24a + 144 + 25
24a = 169
a = 169/24 = the radius
See the graph here : https://www.desmos.com/calculator/tm67fzywd1
