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**Brilliant’s Composite Mathematics Class 6 Solutions Chapter 15 Circle**

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students for the Solutions of Brilliant’s Composite Mathematics Class 6 Math Book, Chapter 15, Circle. Here students can easily find step by step solutions of all the problems for Circle, Exercise 15.1 Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily.

**Circle Exercise 15.1 Solution**

**Question no – (1)**

**Solution :**

**Radius :**

Any straight line joining the centre to a point on the circumference is called its radius.

**Diameter : **

A diameter of the circle is a line segment which passes through the centre of the circle and whose end points lie on circumference of the circle.

**Circumference : **

The length of closed curve terming the circle is called is called its circumference.

**Question no – (2)**

**Solution :**

Are = A continuous piece of a circle is called an are.

Two unequal are which the greater is called the Major are and the smaller is called the minor are.

**Question no – (3)**

**Solution :**

Segment –

A segment of a circle is part of the circle bounded by am are the extremities of the are.

There are two types of segment –

**(i)** Major segment.

**(ii)** Minor segment.

**Question no – (4) **

**Solution :**

**(i)** A diameter of a circle is a chord that Passes through the centre.

**(ii)** A diameter divides a circle into Two equal parts.

**(iii)** If we join any two points on the circumference of a circle by a line segment, we obtain Chord of the circle.

**(iv)** An arc is any part of a circle.

**(v)** All radii of a circle are Equal.

**(vi)** The perimeter of a circle is called its Circumference.

**(vii)** A diameter divides a circle into Two semi-circles.

**Question no – (11)**

**Solution : **

**(i)** A circle has an infinite number of diameters.

= Statement is **True**

**(ii)** All radii of a circle are not equal.

= Statement is **False**

**(iii)** Chord of a circle is a segment having its end points on the circle.

= Statement is **True**

**(iv)** Every chord passes through the centre of a circle.

= Statement is** False**

**(v)** Each diameter of a circle is also a chord of the circle.

= Statement is **True**

**(vi)** A quadrant is a sector.

= Statement is **True**

**(vii)** A diameter divides the circle into two equal parts.

= Statement is **True**

**(viii)** A diameter is the longest chord of a circle.

= Statement is **True**

**(ix)** A semi-circle is an arc.

= Statement is **True**

**(x)** The centre of a circle does not lie on all the diameters.

= Statement is **False**

**Question no – (12) **

**Solution :**

**(i)** The radius of the circle.

= OR, OP, QS, OT

**(ii)** The diameters of the circle.

= QT

**(iii)** The chords of the circle.

= Chords – PT, TS, SR, RQ, PQ, and QT.

**Next Chapter Solution : **

👉 Chapter 17 👈