# How do you find the center and radius of the circle given #x^2+(y-sqrt3)^2+4x=25#?

##### 1 Answer

Please see the explanation for steps leading to:

The center is

#### Explanation:

The standard form for the equation of a circle is:

where

Please notice that (y - sqrt(3))^2 is already in that form and we can see that

Add

When we expand the x square in the standard form we get:

We can find the value of h by setting the middle term from the standard form equal to the middle term of our equation:

This means that we can substitute

Combine the right side:

Write the 29 as

In this form we can see the center and radius by observation:

The center is