By using the general equation for a circle, we will see that the correct options are:
- 1) This is a circle centered at (-3, - 5) with a radius of 4 units.
- 2) The center is (-3, 5) and the radius is 2 units.
- 3) The center is (3, 5) and the radius is 2 units.
- 4) This is a circle centered at (3, - 5) with a radius of 4 units.
<h3>
How to write a circle equation?</h3>
For a circle of radius R and center (a, b), the equation is given by:
(x - a)^2 + (y - b)^2 = R^2
With that in mind, if we look at the first equation:
(x + 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (-3, - 5) with a radius of 4 units.
For the second equation:
(x + 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (-3, 5) and the radius is 2 units.
The third equation is:
(x - 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (3, 5) and the radius is 2 units.
The fourth equation is:
(x - 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (3, - 5) with a radius of 4 units.
If you want to learn more about circles, you can read:
brainly.com/question/14283575
