What is the standard equation of the circle with radius 4 an

What is the standard equation of the circle with radius 4, and center (0,0)?

Solution

The center-radius form of the equation of a circle is (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being \"r\". Here, the centre of the circle is ( 0, 0) so that h = k = 0. Also, r = 4, so that the standard equation of the circle with radius 4, and center (0, 0) is x² + y² = (4)² or, x² + y² = 16.