Standard form of equation

Question

Write the standard form of the equation of the circle with the given characteristics.

Center: (0, 0); Radius: 3

Answer 1

1) The standard form for a circle ⭕ centered at some point C(h,k) with a radius of r is:

(x-h)² + (y-k)² = r ² .

2)Since the origin, (0,0), is the Center, h=0 and k=0. With r =3, we have,

(x- 0)² + (y- 0)² = 3² .

3)This simplifies to

x ² + y ² = 9.

Answer 2

x² + y² = 3²