Hello!
The answer is:
The radius of the circle is 29.21 units.
Why?
To solve the problem, we need to remember that the radius of a circle is the distance from its center to any point of the circle.
We can use the following equation to calculate the distance between the center and the given point:
[tex]distance=radius=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }[/tex]
So, we are given the information:
[tex]Center(12,5)\\Point(-6,-18)[/tex]
Where,
[tex]x_1=12\\y_1=5\\x_2=-6\\y_2=-18[/tex]
Now, substituting and calculating, we have:
[tex]radius=\sqrt{((-6)-(12))^{2}+((-18)-(5)^{2}}\\\\radius=\sqrt{(-18)^{2}+(-23)^{2}}=\sqrt{324+529}=\sqrt{853}=29.21units[/tex]
Hence, we have that the radius of the circle is 29.21 units.
Have a nice day!
