Find the center and radius of a circle with the equation x^2 + y^2 = 20.

Question

asked Apr 11, 2024 31.8k views

1 Answer

Avani Khabiya · Answer 1 · 2024-04-15T18:40:58+0000

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.