Question

This circle is centered at the origin, and the length of its radius is 10. what is the circle's equation?

Answer 1

Answer: x^2+y^2= 100

Step-by-step explanation:

Answer 2

The equation of the circle that you are looking for is x^2 + y^2 = 100.

You can find this by using the base formula for a circle:

(x - x1)^2 + (y - y1)^2 = r^2

In which x1 is the x-coordinate of the origin, y1 is the y-coordinate of the origin, and r is the radius. So we put in the values we know and simplify.

(x -0)^2 + (y - 0)^2 = 10^2

x^2 + y^2 = 100