The rectangle with sides 3 and 4 is inscribed in a circle. The four corners of the rectangle touch the circle. The diagonals of the rectangle are diameters of the circle.
As the length of the sides is 3 and 4, the length of the diagonal can be found by using the Pythagorean Theorem. It is equal to sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt 25 = 5
The circumference of a circle with radius r is given as 2*pi*r or pi*d where d is the diameter.
Here, the diameter is 5. The circumference is 5*pi.
The circumference of the circle is 5*pi