How can the Law of Sines be used to determine the radius of the circumscribed circle around a triangle given all three sides of the triangle?

Answer 1

Jason Larson

To determine the radius (R) of the circumscribed circle around a triangle using the Law of Sines, use the formula R = a / (2 * sin(A)), where ‘a’ is a side of the triangle and ‘A’ is the angle opposite to it. First, find the angles using the sides and the Law of Cosines, then apply the Law of Sines.