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What are Sectors of a Circle? Video Lecture - Class 9

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FAQs on What are Sectors of a Circle? Video Lecture - Class 9

1. What is a sector of a circle?
Ans. A sector of a circle is a region enclosed by two radii and an arc of the circle. It is similar to a slice of a pizza, where the radii are the edges and the arc is the curved part.
2. How is the area of a sector calculated?
Ans. The area of a sector can be calculated using the formula: (θ/360) × πr², where θ is the central angle of the sector and r is the radius of the circle.
3. How is the length of an arc in a sector calculated?
Ans. The length of an arc in a sector can be calculated using the formula: (θ/360) × 2πr, where θ is the central angle of the sector and r is the radius of the circle.
4. Can a sector of a circle be greater than 180 degrees?
Ans. No, a sector of a circle cannot be greater than 180 degrees. A sector is a portion of a circle, and the maximum measure for a sector is 360 degrees, which represents the entire circle.
5. What is the difference between a sector and a segment of a circle?
Ans. A sector is a region enclosed by two radii and an arc, while a segment is a region enclosed by a chord and an arc. The main difference is that a sector includes the central angle, while a segment does not. Additionally, a sector is a larger region compared to a segment.
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