Say true or false :
(a) Two diameters of a circle will necessarily intersect.
(b) The centre of a circle is always in its interior

Solution:

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane.

(a) This statement is true.

Two diameters of a circle will necessarily intersect is a true statement as shown in the figure below.

Here CD and AB are diameters and intersects at point O.

(b) This statement is true.

The centre of a circle is always in its interior is a true statement.

As shown in the figure below, centre (Point O) always lies in the interior of the circle.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 Question 4

Say ‘true’ or ‘false’. (a) Two diameters of a circle will necessarily intersect. (b) The centre of a circle is always in its interior

Summary:

(a) Two diameters of a circle will necessarily intersect is a true statement (b) The centre of a circle is always in its interior is a true statement.

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