# Joy of Mathematics Class 6 Solutions Chapter 14

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## Joy of Mathematics Class 6 Solutions Chapter 14 Circle

Welcome to NCTB Solution. Here with this post we are going to help 6th class students for the Solutions of Joy of Mathematics Class 6 Book, Chapter 14 Circle. Here students can easily find step by step solutions of all the problems for Circle. Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily. Here students will find exercise wise solutions for chapter 14 Exercise 14.

Circle Exercise 14.1 Solution :

Question no – (1)

Solution :

(a) Radii = OA, OE, OB

(b) Diameter = AB

(c) Chord (s) = CD, AB

(d) A sector = AOE

(e) A segment = CD

(f) Points in the interior = S, Q, R

Question no – (2)

Solution :

(a) Radius = OE

(b) a diameter = AB

(c) a segment = CD

(d) an arc = AC

(e) a sector = BOE

Question no – (3)

Solution :

(a) when op < r

(b) when op > r

(c) op = r

Question no – (4)

Solution :

Question no – (5)

Solution :

(a) The path of all the points that are equidistant from a fixed point on a plane is Circle.

(b) The line segment joining the Centre to any point on the circle is called the radius of the circle.

(c) The line segment joining any two points on a circle and passing through the Centre of the circle is called the diameter of the circle.

(d) The number of diameters in a circle is infinite.

(e) The diameter is twice the length of the radius.

(f) The region bounded by an arc and the chord of a circle is called Segment.

(g) The region bounded by an arc and two radii is called Sector.

(h) All radii of a circle are equal.

(i) If we join any two points of a circle by a line segment, we obtain Chord of the circle.

(j) A radius of a circle is a line segment with one end point on Centre and the other point on circumference.

(k) Two circles are concentric if they have the same Centre and different radii.

Question no – (6)

Solution :

(a) Given Statement is – True

(b) Given Statement is – True

(c) Given Statement is – False

(d) Given Statement is – True

(e) Given Statement is – False

(f) Given Statement is – False

(g) Given Statement is – True

(h) Given Statement is – True

(i) Given Statement is – True

(j) Given Statement is – True

(k) Given Statement is – False

Question no – (7)

Solution :

Question no – (8)

Solution :

(a) Secants = RS, PQ, AB, RQ

(b) Diameters = PQ, CD

(c) Tangent = l

Question no – (9)

Solution :

(a) D = 6 cm

r = 6/2

= 3 cm

(b) D = 12 cm

r = 12/2

= 6 cm

(c) D = 20 cm

=> r = 20/2

= 10 cm

(d) D = 14 cm

=> r = 14/2

= 7 cm

Question no – (10)

Solution :

(a) r = 5.5 cm

D = (2 × 5.5)

= 11.0 cm

(b) r = 3 cm

=> D = (2 × 3) cm

= 6 cm

(c) r = 9 cm

=> D = (2 × 9) cm

= 18 cm

(d) r = 6.5 cm

=> D = (2 × 6.5)

= 13.0 cm

Next Chapter Solution :

Updated: June 23, 2023 — 10:31 am