Question

The center of a circle is located at (2, 3) and has a radius of 6 units. Which equation represents this circle?

Answer 1

The equaton of the circle will be (x - 2)² + (y - 3)² = 6²

Equation of a circle

The standard equation of a circle is expressed as;

(x-a)² + (y-b)² = r²

where:

• (a, b) is the centre of the circle
• r is the radius

Given the following

r = 6units

(a, b) = (2,3)

Substitute

The equation of the circle will be (x - 2)² + (y - 3)² = 6²

Learn more on equastion of a circle here: brainly.com/question/1506955

Answer 2

By using the general equation for a circle, we will see that the correct option is:

(x - 2)^2 + (y - 3)^2 = 36

How to find the equation for a circle?

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

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

In this case, the center is (2, 3) and the radius is R = 6 units, replacing that in the above equation we get:

(x - 2)^2 + (y - 3)^2 = 6^2

(x - 2)^2 + (y - 3)^2 = 36

So the correct option is B.

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

brainly.com/question/1559324