Find the standard form of the equation of the circle.

Question

Center at the origin and containing the point (- 2, 3)

Answer 1

Step 1:

The standard form of the circle equation with center at the origin is .

Where r  is the radius of the circle.

The distance between the point and the origin is equal to the radius of the circle.

Radius:

 

Step 2:

Substitute the value  in .

 

Solution :

The standard form of of the circle equation is .