A polygon is a closed plane figure which has straight lines for sides.
Regular polygon has all sides equal in length and all angles equal in size.
The sum of interior angles of n sided polygon is
s = (n - 2) x 180°
Number of sides 3 4 5 6 7 8 9 10 |
Name of the polygon Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon |
Problem 1 :
Find the number of sides of a regular polygon which has angles of 150°
Solution :
Sum of the angles of a regular polygon = 150
Let n be the number of sides.
n = 12
So, the number of sides of a required polygon is 12.
Problem 2 :
Is there a regular polygon which has the angle of 158°
Solution :
Here we get the value of n as decimal. So, there is no such regular polygon is having an angle of 158°.
Problem 3 :
For the following regular polygon given below,
a) Equilateral triangle b) Square c) Pentagon |
d) Hexagon e) Octagon f) Decagon |
find
(i) Number of sides that the polygon has
(ii) Number of angles
(iii) Size of each angle.
Solution :
a) Equilateral triangle
Number of sides = 3, number of angles = 3
b) Square
Number of sides = 4, number of angles = 4
c) Pentagon
Number of sides = 5, number of angles = 5
d) Hexagon
Number of sides = 6, number of angles = 6
e) Octagon
Number of sides = 8, number of angles = 8
f) Decagon
Number of sides = 10, number of angles = 10
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM