Rs Aggrawal 2020 2021 Solutions for Class 6 Maths Chapter 18 Circles are provided here with simple step-by-step explanations. These solutions for Circles are extremely popular among Class 6 students for Maths Circles Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggrawal 2020 2021 Book of Class 6 Maths Chapter 18 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggrawal 2020 2021 Solutions. All Rs Aggrawal 2020 2021 Solutions for class Class 6 Maths are prepared by experts and are 100% accurate.

#### Page No 207:

This is the required diagram as asked in the question.

#### Page No 207:

This is the required diagram as asked in the question.

#### Page No 207:

This is the required diagram as asked in the question.

#### Page No 207:

(i)  False
Diameter of a circle is a chord of the circle, not radius.
(ii) True
It is the longest chord of the circle.
(iii) False
A perpendicular drawn from the centre of the circle to the chord, bisects the chord.
(iv) False
It is a line passing through the circle that intersects the circle at two points.
(v) True.

#### Page No 207:

Therefore, the required arc is arc OACB.

#### Page No 207:

(i) >
(ii) <
(iii) >
(iv) >
This is because the major arc covers more than half of the circumference of the circle.

#### Page No 207:

(i)  passes through
(ii)  on the circle, at the centre of the circle
(iii)  chord
(iv)  arc
(v)  sector

#### Page No 209:

(i) A closed figure is a figure that can be traced with the same starting and ending points, and that too without crossing or retracing any part of the figure.
For example: Polygon, circle, etc.

(ii) A figure having no boundary and no starting or ending points is called as an open figure.

(iii)  A polygon is a plane shape with 3 or more straight sides. It is a 2 dimensional closed figure.

#### Page No 209:

(a) A triangle having no sides or angles equal is called a scalene triangle.

(b) A triangle having two sides and the corresponding opposite angles equal is called an isosceles triangle.

(c) A triangle having one of the angles more than 90$°$ is called an obtuse triangle.

#### Page No 209:

(i)  A quadrilateral with no interior angles greater than 180° is known as a convex quadrilateral.

(ii)  A regular polygon is a polygon all of whose sides are of the same lengths and all of whose interior angles are of the same measures.

#### Page No 209:

The angles are in ratio 3:5:7.
Suppose the angles are 3x, 5x and 7x.

∴ 3x + 5x + 7x = 180                (angle sum property of a triangle)
15x =180
x = 12o

Therefore, the angles are of the measures 36°, 60° and 84°.

#### Page No 209:

Suppose the angles are 2x, 3x, 4x, and 6x.
We know that the sum of the angles of a quadrilateral is 360°.
∴ 2x + 3x + 4x + 6x = 360
15x = 360
x = 24

Therefore, the measures of the angles are 48°, 72°, 96° and 144°.

#### Page No 209:

1. A rhombus is a parallelogram whose opposite sides are parallel.
2. All four of its sides are equal in length. Also, the opposite angles are equal.
3. The diagonals bisect each other at right angles.

#### Page No 209:

(i) A trapezium is a quadrilateral with only one pair of parallel sides.

(ii) A kite is a quadrilateral that has two pairs of equal adjacent sides, but unequal opposite sides.

(d) kite

(c) rhombus

(c) a trapezium

#### Page No 209:

(b) 40°

Since one base angle is 70°, the other base angle will also be 70° because the triangle is isosceles.
Vertical angle:
180 − 70 − 70 = 40$°$                 (angle sum property of a triangle)

#### Page No 209:

(i) False
Diagonals are perpendicular and bisect each other.

(ii) True
The diagonals of a parallelogram bisect each other.

(iii) False
A perpendicular drawn from the centre of a circle to the chord, bisects the chord.

(iv)  True
It divides the circle in two equal parts.

(v) True
The diagonals of a rhombus bisect each other at right angles.

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