NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - Multiple Choice Questions
Question 9

Question.  9

The instrument to draw a circle is

(A)

Ruler

(B)

Protractor

(C)

Divider

(D)

Compasses

Detailed Answer with Explanation:

  1. A circle is the set of all points that are at the same distance from a fixed point (the centre).

  2. To draw a circle, we need an instrument that can:

    • Fix one leg at the centre (O).

    • Keep the pencil at a fixed distance (the radius) (r).

    • Rotate around (O) to mark all points at distance (r).

  3. Check each option:

    • Ruler: used to draw/measure straight lines, not circles.

    • Protractor: used to measure angles in degrees, not to draw circles.

    • Divider: used to transfer or compare distances, not to draw a circle.

    • Compasses: a hinged two-leg tool with a needle and a pencil — exactly what we need to draw a circle.

  4. How compasses work (small steps):

    Set the centre: (O)

    Choose the radius: (r)

    Keep the needle at (O)

    Keep the pencil (r) units away

    Rotate a full turn: (360^circ)

    All points are at distance (r) from (O) ⇒ a circle is formed.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 9: Symmetry and Practical Geometry – Multiple Choice Questions | Detailed Answers