31.8k views
1 vote
Find the center and radius of a circle with the equation x^2 + y^2 = 20.

1 Answer

5 votes

The given equation of the circle is:


\rm \: x^2 + y^2 = 20

We can write this equation in standard form by completing the square:


\rm x^2 + y^2 = 20


\rm x^2 + y^2 - 20 = 0


\rm (x^2 - 2x + 1) + (y^2 - 20) = 1


\rm (x - 1)^2 + y^2 = 21

Therefore, the center of the circle is (1, 0) and the radius is the square root of 21.

User Avani Khabiya
by
8.7k points

No related questions found