minor arc

Definition of Minor Arc

  • Minor Arc is smaller of the two arcs formed when a circle is divided into two unequal parts.

 More about Minor Arc

  • The measure of the minor arc is always less than 180° or π radian.
  • The sum of the measures of the major arc and the minor arc is equal to 360° or 2π radian.

Example of Minor Arc

Arc PQR is a minor arc, as the measure of arc PQR is less than 180o.

Solved Example on Minor Arc

Identify the minor arc in the figure.

A. Arc BCD
B. Arc ABD
C. Arc BAD
D. Arc ADC
Correct Answer: A
Step 1: An arc of measure less than 180 degrees is the minor arc.
Step 2: In the figure, arc BCD measures less than 180 degrees. So, arc BCD is the minor arc in the circle.

Related Terms for Minor Arc

  • Arc
  • Measure
  • Major Arc