A 3 by 4 rectangle is inscribed in a circle. What is the circumference of the circle?

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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

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