What is the circumference of the circle that circumscribes a triangle with side lengths 3 4 and 5?

To find the circumference of the circumcircle of a triangle, we first need to determine the radius of the circumcircle. For a right triangle, the circumradius ( R ) can be calculated using the formula ( R = \frac{c}{2} ), where ( c ) is the length of the hypotenuse. In this triangle with sides 3, 4, and 5, the hypotenuse is 5, so ( R = \frac{5}{2} = 2.5 ). The circumference ( C ) of the circumcircle is given by ( C = 2\pi R = 2\pi \times 2.5 = 5\pi ).