To determine whether all radii of a circle are equal, let's analyze the properties of a circle in geometry:
1. A circle is defined as a set of all points in a plane that are equidistant from a fixed point, known as the center of the circle.
2. The distance from the center of the circle to any point on the circumference (boundary) of the circle is called the radius.
Given these definitions, the radius is a characteristic length that is constant for a specific circle. This means that:
- Regardless of which point on the circumference you choose to measure from, the distance (radius) to the center remains the same.
Thus, because each radius of a circle measures the exact same distance, all radii of a circle are equal.
Therefore, the correct answer is:
True
