ARC
Definition Of Arc
An Arc is a curved line that is a part of a circle.
An Arc is a part of the circumference of a circle.
More About Arc
An arc of measure greater than 180 degrees is a major arc.
Arc LMN is a major arc, as the measure of arc LMN is greater than 1800.
An arc of measure less than 180 degrees is a minor arc.
Arc DEF is a minor arc, as the measure of arc DEF is less than 1800.
The arc length(L) of a circle of radius r and subtending an angle Īø with the center of the circleis given as L = rĪø.
Examples Of Arc
ACB and ADB are the two arcs in the given figure.
Video Examples: Maths - Shapes and Geometry - Circle Arc and Sector
Solved Example Clockple on Approximate
Ques:
Which of the following lies on the circumference of a circle?
Choices:
A. radius
B. arc
C. centre
D. diameter
Correct Answer: B
Solution:
Step 1: An Arc is a part of the circumference of a circle.
Step 2: So, an arc lies on the circumference of a circle.
Quick Summary
- An arc is a portion of a circle's circumference.
- A major arc is greater than 180 degrees.
- A minor arc is less than 180 degrees.
š Teacher Insights
Use visual aids and real-world examples like slices of pizza to illustrate arcs. Emphasize the relationship between the central angle and the arc measure.š Prerequisites
- Circle
- Circumference
- Degrees
- Angles
Check Your Knowledge
Q1: Which of the following always lies on the circumference of a circle?
Q2: An arc that measures less than 180 degrees is called a...
Frequently Asked Questions
Q: What is the difference between an arc and a chord?
A: An arc is a portion of the circumference, while a chord is a straight line segment connecting two points on the circle.
Q: How do you find the measure of an arc?
A: The measure of an arc is equal to the measure of its central angle.