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What is an Arc? Major and Minor Video Lecture | Mathematics (Maths) Class 9

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FAQs on What is an Arc? Major and Minor Video Lecture - Mathematics (Maths) Class 9

1. What is an arc in geometry?
Ans. In geometry, an arc is a portion of a circle. It is defined by two endpoints and all the points on the circle's circumference that lie between these endpoints. The length of an arc is measured in terms of the angle it subtends at the center of the circle.
2. What is the difference between a major arc and a minor arc?
Ans. The difference between a major arc and a minor arc lies in their lengths. A major arc is an arc that measures more than 180 degrees, while a minor arc measures less than 180 degrees. In other words, a major arc is larger than a semicircle, while a minor arc is smaller than a semicircle.
3. How do you find the length of an arc?
Ans. To find the length of an arc, you need to know the measure of the central angle that subtends the arc. The formula to calculate the length of an arc is given by: Length of arc = (Angle measure / 360 degrees) × 2πr, where r is the radius of the circle.
4. Can an arc be greater than a full circle?
Ans. No, an arc cannot be greater than a full circle. A full circle measures 360 degrees, and any arc that measures more than 360 degrees would essentially cover the entire circumference of the circle. Therefore, the maximum length of an arc is equal to the circumference of the circle.
5. How are arcs used in real-life applications?
Ans. Arcs are used in various real-life applications, especially in fields like architecture, engineering, and design. For example, in architecture, arcs are often used to create aesthetically pleasing structures such as arches and domes. In engineering, arcs are used in designing curved roads, bridges, and pipelines. Additionally, arcs are also used in computer graphics and animation to create realistic and smooth curved shapes.
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