Question

The center of a circle is at (-7, -2) and the radius is 7. What is the equation of the circle in standard form?

Answer 1

(x + 7)² + (y + 2)² = 49

Explanation:

The standard form of an equation of a circle:

`(x-h)^2+(y-k)^2=r^2`

(h, k) - center

r - radius

We have:

center (-7, -2) → h = -7 and k = -2

radius r = 7.

Substitute:

`(x-(-7))^2+(y-(-2))^2=7^2\\\\(x+7)^2+(y+2)^2=49`