Write the equation of the given circle. center (3, 3) radius of 2.

Solution:

By definition, a circle of radius ‘a’ is the set of all points P(x, y) whose distance from the center C(h, k) equals ‘a’ (Figure below).

The equation of the circle is

(x - h)² + (y - k)² = a²

In the problem given above the centre is C(3, 3)

Here h = 3, k = 3

And the radius a = 2

Hence the equation of the circle is

(x - 3)² + (y - 3)² = 2²

Write the equation of the given circle. center (3, 3) radius of 2.

Summary:

The equation of the given circle with center (3, 3) and radius of 2 is (x - 3)² + (y - 3)² = 2²