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.
Examples of Minor Arc
Arc PQR is a minor arc, as the measure of arc PQR is less than 180o°.
Video Examples: Minor Arc
Solved Example on Minor Arc
Ques: 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.
Quick Summary
- A minor arc is smaller than a semicircle.
- The measure of a minor arc is less than 180 degrees.
- The sum of a major arc and minor arc sharing the same endpoints is 360 degrees.
🍎 Teacher Insights
Use visual aids to differentiate between minor and major arcs. Emphasize the relationship between the central angle and the measure of the arc.🎓 Prerequisites
- Circles
- Angles
- Arc Length
Check Your Knowledge
Q1: Which of the following is always true about a minor arc?
Q2: If a major arc measures 250 degrees, what is the measure of the corresponding minor arc?
Frequently Asked Questions
Q: How do you identify a minor arc?
A: A minor arc is identified as the shorter path between two points on a circle's circumference. Its measure is always less than 180 degrees.
Q: What is the relationship between a minor arc and a major arc?
A: A minor arc and a major arc share the same two endpoints on a circle. Together, they form the entire circumference of the circle (360 degrees).