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What is a Circle? Video Lecture - Class 9

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FAQs on What is a Circle? Video Lecture - Class 9

1. What is the definition of a circle?
Ans. A circle is a closed curve that is perfectly round in shape. It is formed by all the points in a plane that are equidistant from a fixed center point.
2. What are the main characteristics of a circle?
Ans. The main characteristics of a circle are: - It has a fixed center point. - All points on the circle are equidistant from the center. - It has a constant radius, which is the distance from the center to any point on the circle. - It is a two-dimensional shape. - It is a closed curve.
3. How is the circumference of a circle calculated?
Ans. The circumference of a circle can be calculated using the formula: C = 2πr, where C represents the circumference and r represents the radius of the circle. Alternatively, it can also be calculated using the formula: C = πd, where d represents the diameter of the circle.
4. What is the relationship between the diameter and radius of a circle?
Ans. The diameter of a circle is twice the length of its radius. In other words, the radius is half the length of the diameter. Mathematically, we can express this relationship as: d = 2r, where d represents the diameter and r represents the radius.
5. How is the area of a circle calculated?
Ans. The area of a circle can be calculated using the formula: A = πr^2, where A represents the area and r represents the radius of the circle. This formula is derived from the fact that the area of a circle is proportional to the square of its radius.
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