Question

What are the similarities and differences between a radius and a diameter?

Answer 1

Similarities:

• They are both line segments.
• They are both found in circles.
• Radius is a half of diameter and diameter is twice the radius making them dependent.
• Their intersection is always contains the center of the circle.
• Their set intersection equals to radius and their set union equals to diameter.

Differences:

• Diameter is longer (unless its 0)
• Diameter touches two different points on the circumference while radius only one point
• Center angle of diameter is 180° while of radius is 0° or 360°.
• The Diameter is constructed via line
• The Radius is constructed via line or ray

Answer 2

Difference would be that is a diameter is double a radius and a radius is half of a diameter.
A similarity would be that they would are within a circle and touch the center of circle