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.

Choices:
A. Arc BCD
B. Arc ABD
C. Arc BAD
D. Arc ADC
Correct Answer: A
Solution:
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