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

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

i wish i could u

step-by-step explanation:

i wish i could u