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NCERT · Class 6 · Maths

Chapter 4: Basic Geometrical Ideas

Practice each question, then open the answer or worked solution.

Exercise 4.6

Textbook page 84 · 4 questions
Q1Written answer

From the figure, identify:

(a) the centre of circle

(b) three radii

(c) a diameter

(d) a chord

(e) two points in the interior

(f) a point in the exterior

(g) a sector

(h) a segment

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 1

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Worked solution

(a) The centre of the circle is O

(b) Three radii are NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 2, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 3, NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 4

(c) A diameter is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 5

(d) A chord is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 6

(e) Two points in the interior are O and P

(f) A point in the exterior is Q

(g) A sector is AOB, i.e., shaded region

(h) A segment is ED, i.e., shaded region

Q2Written answer

(a) Is every diameter of a circle also a chord?

(b) Is every chord of a circle also a diameter?

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Worked solution

(a) Yes, every diameter of a circle is also a chord. The diameter is also called the longest chord.

(b) No, every chord is not a diameter.

Q3Written answer

Draw any circle and mark

(a) its centre

(b) a radius

(c) a diameter

(d) a sector

(e) a segment

(f) a point in its interior

(g) a point in its exterior

(h) an arc

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Worked solution

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 7

(a) The centre of the circle is O.

(b) The radius is OC

(c) A diameter is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 8

(d) A sector is AOC

(e) A segment is DE

(f) A point in its interior is O

(g) A point in its exterior is F

(h) An arc is NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 - 9

Q4Written answer

Say true or false:

(a) Two diameters of a circle will necessarily intersect.

(b) The centre of a circle is always in its interior.

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Worked solution

(a) True, two diameters will always intersect each other at the centre of the circle.

(b) True, the centre of the circle will always be in its interior.

Disclaimer: 

Dropped Topics – 4.11 Triangles, 4.12 Quadrilaterals,  4.13 Circles .