Question

each side of regular polygon is
3.6 cm in length and perimeter of
that regular polygons is 21.6 cm
find the number of sides of that
polygons ,also write the name of
polygons​

Answer 1

Answer:

6 sides; The name of the polygon is Hexagon.

Step-by-step explanation:

21.6÷3.6

= 6

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Answer 2

Question :-

Each side of a regular polygon is 3.6 cm and its perimeter is 21.6 cm. Find the number of sides of the polygon.

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Solution :-

➲ Given Information :-

• Measure of each side of polygon ➢ 3.6 cm
• Perimeter of the polygon ➢ 21.6 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 :-

• $\underline{ \underline{ \boxed{ \boxed{ \bf \red{number \: of \: sides \: of \: polygon = \dfrac{perimeter \: of \: polygon}{measure \: of \: each \: side \: of \: polygon} }}}}}$

➲ Calculation :-

Simply, substituting the values in the formula, We get,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{perimeter \: of \: polygon}{measure \: of \: each \: side \: of \: polygon} }$

Substituting the values given, We get,

⇒ $\sf {number \: of \: sides \: of \: polygon = \dfrac{21.6 cm}{3.6 cm} }$

Cancelling & Calculating further, We get,

⇒ $\sf{number \: of \: sides \: of \: polygon = \red 6}$

∴ Number of sides of the polygon = 6

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Final Answer :-

• The number of sides of this polygon is 6. This means that this figure is a Regular Hexagon.

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Note :-

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