Rs Aggrawal 2019 2020 Solutions for Class 6 Math Chapter 18 Circles are provided here with simple step-by-step explanations. These solutions for Circles are extremely popular among Class 6 students for Math Circles Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggrawal 2019 2020 Book of Class 6 Math Chapter 18 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggrawal 2019 2020 Solutions. All Rs Aggrawal 2019 2020 Solutions for class Class 6 Math 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:
Answer:
(i) passes through
(ii) on the circle, at the centre of the circle
(iii) chord
(iv) arc
(v) sector
Page No 209:
Answer:
(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 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 = 12o
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 (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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