The question asks about the type of arc that lies between the two sides of a central angle. To answer this, let's break down the key concepts involved:
1. Central Angle: A central angle is an angle whose vertex is the center of a circle, and its sides (also called radii) extend outwards to intersect the circle.
2. Arc: An arc of a circle is a portion of the circumference of the circle. It is defined by two points on the circle and the continuous part of the circle between those points.
Now, there are different types of arcs based on their sizes relative to the circle:
- Minor Arc: This is an arc that measures less than 180 degrees. In other words, it is the smaller arc between two points on a circle.
- Semicircle: This is an arc that measures exactly 180 degrees, dividing the circle into two equal halves.
- Major Arc: This is an arc that measures more than 180 degrees. It is the larger arc formed by the two points on a circle.
Given the definition of a central angle (which divides the circle between its two sides) and considering the arcs formed:
- The arc that lies between the two sides of the central angle and measures less than 180 degrees is known as a minor arc.
Therefore, the correct answer is:
A. minor arc
