Circles in Maths
What are Circles in Geometry?
We define a circle in geometry as the locus of a point which is always at a fixed distance from a fixed point, called centre of circle.
What are Circle Formulas?
A circle has various formulas but, important formulas for circle are,
- Area of Circle(A) = πr2
- Circumference of Circle(C) = 2πr
What is Chord in Circle?
A line segment joining two points of circumference of circle is called chord of circle. A chord passing through centre of circle is called radius of circle.
What is Difference Between Chord and Secant in Circle?
A chord is a line segment which joints any two points on circumference of circle, whereas secant is a line joining any two points on circumference of circle, it is also called as extended chord.
What is Circumference of Circle?
Length of boundary of circle is called Circumference of Circle. It is calculated using the formula, C = 2πr
What is Area of Circle?
Space occupied inside circumference of circle is called Area of Circle. It is calculated using the formula, A = πr2
What are Properties of Circles?
The properties of the circle are,
- It has the infinite number of radii.
- The radius of the circle is always perpendicular to the tangent of the circle.
- Diameter is the longest chord of the circle
What are Types of Circles in Maths?
We can categorize circles into various categories but important types of circles are,
- Concentric Circles: Circles having different radii but the same centre are called concentric circles.
- Congruent Circles: Circles having the same radius but different centres are called congruent circles.
Circles in Maths
Circles in Maths: A circle is a two-dimensional shape where all points on the circumference are the same distance from the centre. In other words, it is a collection of all points in a plane that are the same distance away from a fixed point, called the centre. Its area is equal to pi times the square of its radius.
In this article, you will understand more about circles in math, including their formulas, examples, parts of circles, and practice problems on circles.
Table of Content
- What is a Circle in Maths?
- Circle Definition
- Circle Examples
- How to Draw a Circle?
- Interior and Exterior of Circle
- Parts of Circle
- Center of Circle
- Radius of Circle
- Diameter of Circle
- Chord of Circle
- Tangent of Circle
- Secant of Circle
- Arc of a Circle
- Segment in Circle
- Sector of a Circle
- Properties of Circle
- Circle Formulas
- Area of Circle Proof
- Types of Circles
- Solved Examples on Circles
- Practice Problems on Circles in Maths
- MCQs on Circles in Maths