Question

Enter the equation of the circle with the given center and radius.

Center: (0,3); radius: 3
The equation of the circle is

Answer 1

x² + (y - 3)² = 9

Explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (0, 3) and r = 3, thus

(x - 0)² + (y - 3)² = 3², that is

x² + (y - 3)² = 9 ← equation of circle