Answers
Answer:
Appropriate Question :-
Each side of a regular polygon is 17.5 m and its perimeter is 2.5 cm. Find the number of sides of the polygon.
____________________
Solution :-
➲ Given Information :-
Measure of each side of polygon ➢ 17.5 cm
Perimeter of the polygon ➢ 2.5 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 = 7
___________________
Final Answer :-
- The number of sides of this polygon is 7. This means that this figure is a Regular Heptagon.
___________________
Note :-
Kindly scroll from right to left to see the whole solution.
Answer:
Appropriate Question :-
Each side of a regular polygon is 17.5 m and its perimeter is 2.5 cm. Find the number of sides of the polygon.
____________________
Solution :-
➲ Given Information :-
Measure of each side of polygon ➢ 17.5 cm
Perimeter of the polygon ➢ 2.5 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} }}}}}
numberofsidesofpolygon=
measureofeachsideofpolygon
perimeterofpolygon
➲ 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} }numberofsidesofpolygon=
measureofeachsideofpolygon
perimeterofpolygon
Substituting the values given, We get,
⇒ \sf {number \: of \: sides \: of \: polygon = \dfrac{17.5 cm}{2.5 cm} }numberofsidesofpolygon=
2.5cm
17.5cm
Cancelling & Calculating further, We get,
⇒ \sf{number \: of \: sides \: of \: polygon = \red 7}numberofsidesofpolygon=7
∴ Number of sides of the polygon = 7
___________________
Final Answer :-
The number of sides of this polygon is 7. This means that this figure is a Regular Heptagon.
___________________
Note :-
Kindly scroll from right to left to see the whole solution.
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