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 Meritnationâ€™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:

#### Answer:

This is the required diagram as asked in the question.

#### Page No 207:

#### Answer:

This is the required diagram as asked in the question.

#### Page No 207:

#### Answer:

This is the required diagram as asked in the question.

#### Page No 207:

#### Answer:

(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:

#### Answer:

Therefore, the required arc is arc OACB.

#### Page No 207:

#### Answer:

(i) >

(ii) <

(iii) >

(iv) >

This is because the major arc covers more than half of the circumference of the circle.

#### Page No 207:

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(i) passes through

(ii) on the circle, at the centre of the circle

(iii) chord

(iv) arc

(v) sector

#### Page No 209:

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(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:

#### Answer:

(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$\xb0$ is called an obtuse triangle.

#### Page No 209:

#### Answer:

(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:

#### Answer:

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 = 12^{o}

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

#### Page No 209:

#### Answer:

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:

#### Answer:

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

#### Page No 209:

#### Answer:

(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.

#### Page No 209:

#### Answer:

#### Page No 209:

#### Answer:

(d) kite

#### Page No 209:

#### Answer:

(c) rhombus

#### Page No 209:

#### Answer:

(c) a trapezium

#### Page No 209:

#### Answer:

(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$\xb0$ (angle sum property of a triangle)

#### Page No 209:

#### Answer:

(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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