Question

Which of the following points represents the center of a circle whose equation is (x - 3)2 + (y - 2)2 = 16?

Answer 1

Answer:

A. (3,2)

Step-by-step explanation:

To find the center of a circle on a quadratic equation all you have to do is to see what´s inside the parenthesis with the X and Y and then you equal that to "0", the number inside the parenthesis is the distance from the center of the circle to the center of the graph.

1. (x-3)= 0

2. x=3

1.  (y-2)

2. Y=2

This means that the center of the circle is 3 units away on the positive x axis and the  Y is 2 units away on the positive Y axis.

Answer 2

By comparing the given equation with the general equation for a circle, we will see that the center is at the point (3, 2)

How to find the center of a circle?

We know that the general equation for a circle of radius R centered at the point (a, b) is given by:

(x - a)^2 + (y - b)^2 = R^2

Here the equation is:

(x - 3)^2 + (y - 2)^2 = 16

Comparing it with the general equation, we can see that:

• a = 3
• b = 2

Then the center of the circle is the point (3, 2).

If you want to learn more about circles, you can read:

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