RS Aggarwal Class 8 Maths Chapter 14 Ex 14.1 Solutions: In this exercise, the students understand the topics of polygons & curves. They will solve all problems based on basic concepts of polygons. Each solution is created by our Mathematics faculty team to match all levels of students. The students can nourish their knowledge & build a strong command of the concepts of polygons & curves with the help of these solutions.
RS Aggarwal Class 8 Maths Chapter 14 Ex 14.1 Solutions are accessible in PDF format which students can download from the link given below. These solutions cover well-researched information about all the topics of this exercise so that the students can thoroughly get the concepts. These solutions help the students to be confident about their answers if they practice these solutions frequently.
Download RS Aggarwal Class 8 Maths Chapter 14 Ex 14.1 Solutions
Important Definition for RS Aggarwal Class 8 Maths Chapter 14 Ex 14.1 Solutions
It is a shape or a line that is smoothly drawn in a plane that has a bent or turns in it. A circle is an example of a curved-shape. There are types of Curves such as:
(i) Simple Curve: A curve that transforms its direction but it does not intersect itself is called a simple curve. It may be open or closed.
(ii) Non-Simple Curve: The curve that intersects itself while changing its direction is known as the Non-Simple Curve.
(iii) Open Curve: A curve that has 2 endpoints & when it does not enclose the area within itself it is called an open curve.
(iv) Closed Curve: It has no endpoints & when it encloses the region or area will form.
It is a closed figure built of line segments not curves in a two-dimensional plane. At least 3 line segments are needed to link end to end to create a closed figure. Therefore, a polygon with at least 3 sides is called Triangle & it is also known as 3-gon. An n-sided polygon is known as n-gon.
- Regular Polygon
If each side & interior angle of the polygon is equal, it is called a regular polygon. Examples of regular polygons are rhombus, square, equilateral triangle, etc.
- Irregular Polygon
If each side & the interior angle of the polygon are of different measure, it is called an irregular polygon. The examples of irregular polygons are a rectangle, a scalene triangle a kite, etc.
- Properties of polygons are based on their sides & angles (i) The sum of all the interior angles of an n-sided polygon is (n – 2) × 180°.
(ii) The number of diagonals in a polygon with n sides = n(n – 3)/2
- (iii) The number of triangles builds by joining the diagonals from one corner of a polygon = n – 2
- (iv) The measure of each interior angle of n-sided regular polygon = [(n – 2) × 180°]/n
- (v) The measure of each exterior angle of an n-sided regular polygon = 360°/n
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