Write an equation in standard form of the circle with the given properties. Center at the origin; r square root 6

x² + y² = 6

Step-by-step explanation:

The standard form of the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Here r = , then

x² + y² = ( )² , that is

x² + y² = 6