​Find the equation in general form of the circle with center at the origin and r = 3.

Question

Homework college alg.

Answer 1

Find the equation in general form of the circle with center at the origin and r = 3.

The general equation of a circle is given by,

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the centre of the circle and r is the radius of the circle.

We have (h, k) = (0, 0) (i.e. the origin) and r = 3

Substituting for the above,

(x - 0)^2 + (y - 0)^2 = 3^2

Answer: x^2 + y^2 = 9