Find the radius of the circle whose equation is x² - 10x + y² - 10y = -1.

1
7
49

radius = 7 units

Step-by-step explanation:

We are given the equation;

x² - 10x + y² - 10y = -1

We are required to determine the radius of the circle;

We are going to use completing square method to solve for the radius and the center of the circle.

First we make sure the coefficient of x² and  y²  is 1

x² - 10x + y² - 10y = -1

Then we add the square of half the coefficient of x and y on both sides of the equation;

That is;

Simplifying the equation, we get;

Thus;

That is;

The equation of a circle is written in the form of;

Then (a, b) is the center and r is the radius.

Therefore;

In our case;

Then, center = ( 5, 5)

         radius = √49

                    = 7 units

step-by-step explanation:

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