We are given that a square with sides of 14 inches is inscribed in a circle. We want to find the diameter of the circle. Let's sketch a diagram of this situation.
As we can see, the diameter of the circle is also a diagonal of the square. We can call it d. Notice that because a square has four right angles, two sides of a square and the diagonal form a right triangle.
Now we can write an equation using the Pythagorean Theorem. According to this theorem the sum of the squared legs of a right triangle is equal to its squared hypotenuse.
d^2= 14^2+ 14^2
Let's solve the above equation. Notice that since d represents a dimension we will consider only the positive case when taking the square root of d^2.
