Question

A circle is represented by the equation

(
x
−
8
)
2
+
(
y
−
6
)
2
=
9.
What are the center and radius of the circle?

Answer 1

The circle with the equation (x - 8)^2 + (y - 6)^2 = 9 has its center at the point (8, 6) and a radius of 3 units.

Step-by-step explanation:

The equation (x - 8)2 + (y - 6)2 = 9 represents a circle in a coordinate plane. This equation is in the standard form for a circle, which is (x - h)2 + (y - k)2 = r2 where (h, k) is the center of the circle and r is the radius.The center of the circle is at the point (8, 6), and the radius of the circle is 3 units. This is because the equation is centered at (8, 6) and the radius squared, r2, is 9 which implies that r = √9 = 3.