www.khingersaab.blogspot.com
Formulas of Polygon in Quant section
Today we will be covering a very important topic from the quantitative aptitude section that is – Polygon .These formulas will be helpful for your upcoming Exams like SSC CGL 2016 Exams. If you like it let us know.
Polygon
A closed figure in a plane with 3 or more sides and common endpoints.
Polygons are two-dimensional geometric figures with these characteristics:
They are made of straight line segments.
Each segment touches exactly two other segments, one at each of its endpoints.
They are closed they–divide the plane into two distinct regions, one “inside” and the other “outside” the polygon.
These shapes are polygons:
These shapes are not polygons:
Types of polygons based on the number of sides
Quadrilateral: 4 sides
Pentagon: 5 sides
Hexagon: 6 sides
Heptagon: 7 sides
Octagon: 8 sides
Nonagon: 9 sides
Decagon: 10 sides
N-gon: n sides
Polygons with more than 10 sides are not usually given special names. A polygon with 11 sides is described as an 11-gon, a polygon with 12 sides as a 12-gon, and so on. Each of the polygons below is a 17-gon.
A regular polygon is a convex polygon with all sides and angles congruent.
Convex pentagon Concave pentagon
A. Area of a regular polygon =
B. Area of a Hexagon =
C. Area of an Octagon =
Example 1: Find the area of a regular hexagon whose side measures 9 cm.
Solution:
Area of a regular hexagon=
Here, a = 9 cm
sq. cm = 210.4 sq. cm approx
Example 2: Find the nearest metre the side of a regular octagonal enclosure whose area is 1 hectare.
Solution:
Now, hectare
sq.m or, 2071 sq. approx..
a=46 metres approx
The sum of the angles of a triangle is 180o. What is the sum of the angles of a quadrilateral? Break polygon up into triangles to get formula:
Sum of angles = 180(n – 2)
What is the sum of the angles of a pentagon? = (540)
What is the sum of the angles of a nonagon? = (1260)
If a pentagon is regular what is the measure of each interior angle?= (108)
More From Us: –
Advanced Maths: Geometry Digest for SSC Exams
Thank You!
Get more Quants, Study Notes related tests, articles on your Android Phone. Install Now! Tags:Advanced Maths, Quant Section, SSC Exam 2016, study material
Related Posts
Quant Quiz on Geometry for SSC Exam
Quant Quiz on Time and Work For SSC Exam 2016
Important Notes & Short Tricks on Height & Distance
Important Tips to crack SSC Exam
Disqus seems to be taking longer than usual. Reload?
Other Important Links : FREE SSC CGL Mock Test | SSC | SSC
No comments