Chapter 11, Problem 4SGR

To determine

To state: Whether the statement “The segment from the center of a square to the corner can be called the radius of the square” is true or false.

Answer to Problem 4SGR

The statement is true.

Explanation of Solution

Given information:

The given statement is “The segment from the center of a square to the corner can be called the radius of the square”.

Consider a square with center O is inscribed in a circle as shown in the Figure (1).

  

Figure (1)

From the figure, it is observed that the line OA is the radius of the circle in which the square is inscribed. So, the radius OA is associated with the square.

Hence, the radius of the circle in which square is inscribed can be termed as the radius of the square.

Thus, any segment from the center of the polygon to the vertex of the polygon is the radius of the polygon.

Therefore, “The segment from the center of a square to the corner can be called the radius of the square” is true.