Question

Given that the center of a circle is C(-10,-7) and the point S(4,4) lies on the circle's edge calculate the circle's radius to two decimal places

Answer 1

Answer:

$r\approx 17.80$

Step-by-step explanation:

Equation of the Circle

A circle can be completely defined knowing its center and radius. The radius is the distance from the center to any point in its edge. Since we know the center of the circle is (-10,-7) and one point in its edge is (4,4), we calculate the distance between those points:

$r=\sqrt{(4-(-10))^2+(4-(-7))^2}$

$r=\sqrt{14^2+11^2}$

$r=\sqrt{196+121}=\sqrt{317}$

$\boxed{r\approx 17.80}$