What is the equation of a circle with center (-4, 7) and radius 6?

1 Answer
Jan 29, 2016

Answer:

The equation of the circle would be #(x -(-4))^2 + (y- 7)^2 = 6^2#
or #(x +4)^2 + (y- 7)^2 = 36#

Explanation:

The equations of the circle is
#(x - h)^2 + (y- k)^2 = r^2#
where h is the x of the center of the circle and k is the y of the center of the circle, and r is the radius.

(-4,7) radus is 6

h = -4
k = 7
r = 6

plug in the values
#(x -(-4))^2 + (y- 7)^2 = 6^2#
simplify
#(x + 4)^2 + (y- 7)^2 = 36#