Question

How do you find the center and the radius for $x^{2} +y^{2} =25$?

Answer 1

Answer:

The center is (0,0) and the radius is 5

Step-by-step explanation:

To find the center of a circle, you need to look at the equation

In this case this equation could be written as

$(x-0)^2+(y-0)^2=5^2$

The x value is x=0 for the center and the y values is y=0

The radius can be found by looking at the constant that is squared, so r=5

In the case of an equation like this

$(x-1)^2+(y+1)^2=3^2$

The center point would be (1,-1) and r=3