Class 9 Exam > Class 9 Videos > Mathematics Olympiad for Class 9 > Basic Concepts of a Circle and its Related Terms
Basic Concepts of a Circle and its Related Terms Video Lecture | Mathematics Olympiad for Class 9
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FAQs on Basic Concepts of a Circle and its Related Terms Video Lecture - Mathematics Olympiad for Class 9
| 1. What is a circle and how is it defined? |  |
A circle is a closed curve in which all points on the curve are equidistant from a fixed point called the center. It is defined by its radius, which is the distance from the center to any point on the curve.
| 2. What are the basic terms associated with a circle? | |
The basic terms associated with a circle are:
- Center: The fixed point in the middle of the circle.
- Radius: The distance from the center to any point on the circle.
- Diameter: The distance across the circle passing through the center.
- Chord: A line segment joining two points on the circle.
- Arc: A part of the circumference of the circle.
- Sector: The region enclosed by an arc and two radii.
| 3. How is the circumference of a circle calculated? | |
The circumference of a circle is calculated using the formula:
Circumference = 2πr
where π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
| 4. What is the relationship between the radius and diameter of a circle? | |
The diameter of a circle is twice the length of its radius. In other words, if the radius is denoted as "r", then the diameter is denoted as "2r". Conversely, if the diameter is given, the radius can be found by dividing the diameter by 2.
| 5. How is the area of a circle calculated? | |
The area of a circle is calculated using the formula:
Area = πr²
where π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
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