Question

Write the equation in standard form for the circle with center (0, -5) and radius 2

Answer 1

x^2 + (y + 5)^2 = 4.

Explanation:

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

- where (a, b) is the center and radius = r.

So our equation is:

(x - 0)^2 + (y - (-5))^2 = 2^2

x^2 + (y + 5)^2 = 4.

Answer 2

The standard equation for a circle is '
`(x-h)^2+(y-k)^2=r^2`

• (h,k): coordinate for the center of the circle --> (0,-5)
• r: radius --> 2

--> Standard form:

`(x - )^2 +(y-(-5))^2=2^2\\x^2+(y+5)^2=4`

Hope that helps!