The circle below is centered at the origin, and the length of its radius is 7. What is the circles equation?

The standard form for the equation of a circle with the center at the origin is:

x² + y² = r²

Given that the radius is 7, we can easily generate the equation of the circle by plugging in the value of r into the equation. So,

x² + y² = 7²

x² + y² = 49

Therefore, the equation of the circle with its center at the origin and with radius of 7 is

x² + y² = 49