Answer:
[tex]r=\sqrt{58}\ units[/tex] or [tex]r=7.6\ units[/tex]
Step-by-step explanation:
we know that
The distance from the center to any point on the circumference is equal to the radius
so
Find the distance between the points (6,5) and (3,-2)
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
substitute the values
[tex]d=\sqrt{(-2-5)^{2}+(3-6)^{2}}[/tex]
[tex]d=\sqrt{(-7)^{2}+(-3)^{2}}[/tex]
[tex]d=\sqrt{58}[/tex]
so
[tex]r=\sqrt{58}\ units[/tex]
or
[tex]r=7.6\ units[/tex]
