Mathematics
Grade9
Easy
Question
Find the area of the regular polygon.
- 250
- 348
- 340
- 289
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: 289
In the question there is a polygon as shown in the figure above.
Here, we have to find the area of the given polygon.
From the given figure we can say that,
Length of each side= 6.84
Firstly, we have to find the length of apothem.
For that, consider apothem to be a.
So, tan 70 = 
a= tan 70 × 3.42
a= 9.39
Now, we have to find the perimeter of the polygon.
Perimeter= Length of each side of the polygon × No. of sides
= 6.84×9
Area = 
×apothem ×Perimeter
= ×9.39 × (9×6.84)
= 289
Thus, the area of the given polygon is 289.
Therefore, the correct option is d, i.e., 289.
A perpendicular line segment joining the centre and one of the sides of the regular polygon is called apothem of the polygon.
