Question

A circle is described by the equation x2 y2 14x 2y 14 = 0. what are the coordinates for the center of the circle and the length of the radius?

Answer 1

length is (-7,-1) and radius is 6

Explanation:

We are given the expression of the equation of a circle that is

x2 + y2 + 14x + 2y + 14 = 0.

Using completing the squares:

x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal to square root of 36 equal to 6.