# How do you find the center and radius of the circle #x^2 + y^2 - 6x + 8y = 0#?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

Radius = 5

Centre (3, -4)

#### Explanation:

The general equation of a circle is

Rearranging the equation

Then, you would want to find the perfect squares of

remembering to balance the equation

And because you added something that wasn't there before, you have to take it away again

Then simplifying it to:

If we rearrange the equation like this:

And simplify it to:

We can determine the centre and radius by:

Adding 25 to both sides

And comparing it to

The radius of the equation above would be at

Therefore, your centre would have the coordinates

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