Question

The center of a circle is located at (3,8) and the circle has a radius that is 5 units long What is the general form of the equation for the circle

Answer 1

General form of a circle's equation:
 (x -a)² + (y -b)² = r²
(a, b) is the circle's center

(x -3)^2 + (y -8)^2 = 5^2
Source:
http://1728.org/circle.htm

Answer 2

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{8}{ k})\qquad \qquad radius=\stackrel{5}{ r} \\\\\\ (x-3)^2+(y-8)^2=5^2\implies (x-3)^2+(y-8)^2=25$