Write the equation in standard form for the circle with radius 2 centered at the origin.

Answer 1

Hi Melissa,

The standard form for the equation of a circle with radius r , center at (h, k) is given as (x - h)² + (y - k)² = r².

Since the origin is given as the center,

h and k are both equal to zero. x-0=x, y-0=y.

The resulting equation:

x² + y² = 2²

Regards,

Anita A.

Answer 2

The standard equation for a circle:

(x - a)² + (y - b)² = r², where a and b are the coordinates of the origin, and r is the radius.

Example:

origin at (1,2) with a radius of 5:

(x - 1)² + (y - 2)² = 5²

Just plug in your numbers....