Mathematics
Grade9
Easy
Question
In the previous question, find the area of the column.
- 324
- 205
- 166
- 189
Hint:
Polygon is a two- dimensional closed figure which is made up of three or more line segments. Each polygon has its own properties based on the number of sides. Area of a regular polygon can be determined using the formula 
. Here, we have to find the area of the given polygon.
The correct answer is: 166
In the question there is a regular hexagon with radius 8 inches and apothem 6.92 inches.
Here, we have to find the area of the given regular hexagon.
Firstly, we have to find the length of each side of the hexagon.
So, Sin 30 = 
x = 4
Length of one side = 2×4 = 8
Perimeter= Length of each side × No. of sides
= 6×8
= 48
Area = 
× Perimeter × apothem
= ×48 × 6.92
= 166
So, the area of the given regular hexagon is 166.
Therefore, the correct option is c, i.e., 166.
A perpendicular line segment joining the centre and one of the sides of the regular polygon is called apothem of the polygon
