Question

If a circle is inscribed in a square, then the sides of the square are tangent to the circle. If the circle is circumscribed about the square, are the sides of the square tangent to the circle?

Answer 1

No

Explanation:

A tangent line is a line that touches the circle externally at one point.

The diagrams below shows the difference between an inscribed and circumscribed circle.

If a circle is inscribed in a square, then the sides of the square are tangent to the circle.

If the circle is circumscribed about the square, the square forms a cyclic quadrilateral and the sides of the square are not tangent to the circle.