Mathematics: What is the center? the circle passes through the point (-7,-7). what is the radius?

1000000 to 1 or 1000000:1 I think...

What is the center? the circle passes through the

zanaplen27

27.01.2022

We have been given image of circle that passes through point (-7,-7) . We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point (-2,-1) .

Now we will use equation of circle to find radius.

(x-h)^2+(y-k)^2=r^2 , where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point (-7,-7) and coordinates of center (-2,-1) and solve for r as:

(-7+2)^2+(-7+1)^2=r^2

(-5)^2+(-6)^2=r^2

25+36=r^2

61=r^2

Switch sides:

r^2=61

Now we will take positive square root on both sides:

$\sqrt{r^2}=\sqrt{61}$

$r=\sqrt{61}$

Therefore, radius of circle will be $\sqrt{61}$ and center is at point (-2,-1) .

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