Question

In the equation (x-3)²+(y-2)²=16, the center of the circle is given by the values inside the parentheses. So, the center of the circle is at the point (3, 2).

Answer 1

The equation (x-3)²+(y-2)²=16 represents a circle with a center at point (3, 2) and a radius of 4 units.

Step-by-step explanation:

Yes, in the equation (x-3)²+(y-2)²=16, we are dealing with a circle's standard form equation. In this equation, the coordinates within the parentheses represent the center of the circle. Hence, the center is indeed at the point (3, 2). The equation also tells us that the radius of the circle is the square root of 16, which is 4. This means that from the center at (3, 2), you can move 4 units in any direction and remain on the circle, as the distance from the center to any point on the circle is constant.