Question

Determine the equation of the circle graphed below

Answer 1

`{ (x + 3)^2+ (y + 7)^2 = 4`

Explanation:

The equation of a circle with center at point(a, b) and radius = r is given by:

`(x - a)^2 + (y - b)^2 = r^2`

This is known as the standard form equation for a circle

Examining the graph we see that the center of the circle = (-3, -7), so a = -3, b = -7

The diameter of this circle = 4, so r = 4/2 = 2

The equation is

`(\;x - (-3) \;)^2 + (\;y - (-7)\;)^2 = 2^2\\\\\bold{ (x + 3)^2+ (y + 7)^2 = 4}`