The distance form centre to any point on the circumference of a circle is called radius of the circle.

Every point on the circumference of the circle maintains a constant distance from centre of the circle. The constant distance between them is called as radius. It is popularly denoted by letter $r$ in geometry.

Actually, the distance between two points is same as the length of the line segment which joins two points. Hence, the radius of a circle is geometrically denoted by a line segment which joins centre and any point on the circumference.

$C$ is a centre of a circle and $P$ is any point on the same circle.

According to definition of radius of a circle, the distance from centre $C$ to any point $P$ on the circumference is known as radius of the circle. If they are joined by a line, then the length of line segment is same as the distance between them.

It means, the radius of a circle is equal to the length of the line segment $\overline{CP}$. Hence, the radius in a circle is denoted by a line segment geometrically.

$\therefore \,\,\,\,\,\, CP \,=\, r$

Latest Math Topics

Latest Math Problems

Email subscription

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.