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

The length of rectangle is of 4 and the width is of 3.
Since the rectangle is inscribed in a circle, then it's diagonal represents the diameter
of the circle.

We'll recall the formula that gives the
circumference of a circle:

C = 2*`pi`
*r

The diagonal of the rectangle can be found using the
Pythagorean theorem:

D^2 = 3^2 +
4^2

D^2 = 9 + 16

D^2 = 25
=> D = 5

We could give the answer regarding the
length of the diagonal, completing the missing place from the Pythagorean triple
(3,4,5).

Since we know the diagonal, then we can calculate
the circumference:

C =
D`pi`

C =
5`pi`

Therefore, the circumference of the
circumscribed circle is of 5`pi` .