Question

The equation of a circle is shown below.

(x – 1)2 + (y + 3)2 = 16

Which statement is true about the center of the circle?
Answer It is located on the x-axis.
It is located on the y-axis.
It is located in the third quadrant.
It is located in the fourth quadrant.

Answer 1

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r". Therefore, the center is located at point (1, -3) and is located in the fourth quadrant, last option. Hope this answers the question.