Question

A circle is represented by the cquation (x-1)² +(y-5)² =6. Which of the following shows the location of the center of the circle and its radius?

Answer 1

The center of the circle is (1, 5) and the radius is sqrt(6).

Step-by-step explanation:

The equation of a circle is given by the formula (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.

In the given equation (x-1)^2 + (y-5)^2 = 6, we can see that the center of the circle is (1, 5) and the radius is sqrt(6).

Therefore, the location of the center of the circle is (1, 5) and the radius is sqrt(6).