Question

Whats the equation of this Circle?

Answer 1

So the answer is this

-2+-7=-5

Answer 2

equation of a circle is given as

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

where (a,b) is coordinates of center of the circle and r is radius.

as per shown in graph we can see center of circle.is ( -7, -2)

now let's calculate radius. we have to calculate distance between any point on circle and center . let's take point (-7,0) on the circle shown in graph.

r = √((-7-(-7))^2 + (0-(-2))^2

r = √4 = 2

so equation is

(x -(-7))^2 + (y - (-2))^2 = 2^2

(x +7)^2 + (y +2)^2 = 4