Question

Use the given information to write an equation of the circle.
center at ​(-7​,-3​), radius 2

Answer 1

(x + 7)² + (y + 3)² = 4

Explanation:

The equation of a circle in the standard form:

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

(h, k) - center

r - radius

We have the center (-7, -3) and the radius r = 2. Substitute:

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