The circle below is centered at the origin and has a radius of 10. What is its equation?

x^2 + y^2 = 10^2

Step-by-step explanation:

So the center of the circle is (0, 0).

x^2 + y^2 = 10^2

x² + y² = 100

Step-by-step explanation:

The equation of a circle is (x - h) ² + (y - k) ² = r²

Here our center, (h, k), is (0,0) The radius is 10

Plugging in these values to the equation of a circle we get:

(x - 0) ² + (y - 0) ² = (10) ² This then simplifies to x² + y² = 100