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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 : **

👉 Chapter 15 👈