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Geometry: Circle Video Lecture | Crash Course for XAT - CAT

FAQs on Geometry: Circle Video Lecture - Crash Course for XAT - CAT

1. What is a circle in geometry?

Ans. A circle in geometry is a shape that consists of all points in a plane that are equidistant from a fixed center point. It is defined by its radius, which is the distance from the center to any point on the circle.

2. How do you calculate the circumference of a circle?

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, the formula C = πd can also be used, where d represents the diameter of the circle.

3. What is the relationship between the radius and diameter of a circle?

Ans. The diameter of a circle is twice the length of its radius. In other words, if r is the radius of a circle, then the diameter can be calculated as d = 2r. Conversely, the radius can be calculated as r = d/2.

4. How do you find the area of a circle?

Ans. The area of a circle can be calculated using the formula A = πr², where A represents the area and r represents the radius of the circle. This formula is derived from dividing the circle into infinitesimally small sectors and summing their areas.

5. How is the circumference of a circle related to its diameter?

Ans. The circumference of a circle is directly proportional to its diameter. This means that the circumference is always equal to π times the diameter, regardless of the size of the circle. In other words, C = πd.

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Sep 25, 2025 Last updated

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