Question

Write an equation in standard form of the circle with the given properties.

Center at the origin; r square root 6

Answer 1

x² + y² = 6

Explanation:

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

x² + y² = r² ( r is the radius )

Here r =
`√(6)` , then

x² + y² = (
`√(6)` )² , that is

x² + y² = 6