each side of regular side of polygon is 3.25 cm its perimeter is 29.25 find the number of sides of polygon
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Answer:
Let number of sides be x
Perimeter = sum of all sides
29.25 = 3.25x
X = 29.25/3.25
X= 9
Number of sides is 9
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Question :-
Each side of a regular polygon is 3.25 cm and its perimeter is 29.25 cm. Find the number of sides of the polygon.
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Solution :-
➲ Given Information :-
- Measure of each side of polygon ➢ 3.25 cm
- Perimeter of the polygon ➢ 29.25 cm
➲ To Find :-
- Number of sides of the polygon
➲ Concept :-
- Area And Perimeter of Plane Figures
➲ Explanation :-
- In order to find the number of sides of the polygon, We have to divide the ' perimeter of the polygon ' with the ' measure of each side of polygon '. The resulting values will be the total number of sides present in the polygon.
➲ Formula Used :-
➲ Calculation :-
Simply, substituting the values in the formula, We get,
⇒
Substituting the values given, We get,
⇒
Cancelling & Calculating further, We get,
⇒
∴ Number of sides of the polygon = 9
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Final Answer :-
- The number of sides of this polygon is 9. This means that this figure is a Regular Enneagon/Nonagon.
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Note :-
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