How do you find the center and radius of a circle using a polynomial #(x - 3) ^2 + (y + 4) ^2 = 25#?
1 Answer
Apr 30, 2018
Explanation:
#"the equation of a circle in standard form is"#
#color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))#
#"where "(a,b)" are the coordinates of the centre and r"#
#"is the radius"#
#(x-3)^2+(y+4)^2=25" is in this form"#
#"with centre "=(3,-4)" and radius "=sqrt25=5#
