We have been given image of circle that passes through point
. 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
.
Now we will use equation of circle to find radius.
, where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point
and coordinates of center
and solve for r as:
![(-7+2)^2+(-7+1)^2=r^2](https://tex.z-dn.net/?f=%28-7%2B2%29%5E2%2B%28-7%2B1%29%5E2%3Dr%5E2)
![(-5)^2+(-6)^2=r^2](https://tex.z-dn.net/?f=%28-5%29%5E2%2B%28-6%29%5E2%3Dr%5E2)
![25+36=r^2](https://tex.z-dn.net/?f=25%2B36%3Dr%5E2)
![61=r^2](https://tex.z-dn.net/?f=61%3Dr%5E2)
Switch sides:
![r^2=61](https://tex.z-dn.net/?f=r%5E2%3D61)
Now we will take positive square root on both sides:
![\sqrt{r^2}=\sqrt{61}](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%3D%5Csqrt%7B61%7D)
![r=\sqrt{61}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B61%7D)
Therefore, radius of circle will be
and center is at point
.
Answer:
15
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Because when you add up the points you would get (4,3)