The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. (In the adjoining figure (Fig 11.12) AB is a diameter of the circle; C is its centre.) Express the diameter of the circle (d) in terms of its radius (r).

Solution:

We know that diameter is twice the length of the radius of the circle.

Given that C is the centre of a circle, CP is the radius denoted by r and AB is a diameter denoted by d

So, Diameter = 2 × Radius

= 2 × r

= 2r

Therefore, 2r is the diameter of the circle in terms of its radius.

NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.2 Question 4

The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre). Express the diameter of the circle (d) in terms of its radius (r).

Summary:

It is given that the diameter of a circle is a line that joins two points on the circle and also passes through the centre of the circle. We have expressed the diameter of the circle in terms of its radius is 2r.

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