# How do you find the center and radius for #5x^2 + 5y^2 +10x-30y+49=0#?

##### 2 Answers

The center of this circle is

#### Explanation:

The general form of the equation of a circle is :

where

In the given exercise we are asked to transform this standard form

into the general form of the equation of a circle.

First , the coefficients of

Then, complete the square.

The equation of the circle is:

Hence, The center of this circle is

centre

radius

#### Explanation:

To find centre and radius we need to rearrange the equation into the form:

where;

Divide by

Now complete the square on both the

centre

radius