
A polygon with five sides is known as a
Answer
589.5k+ views
Hint: Approaching the diagram
Regular polygon: - Close shape 3 or more sides are said to be regular polygon when all the sides are equal.
Complete step-by-step solution:
Given that
A polygon with five sides.
Now let us look into the diagram
In this diagram 5-sides and all are sides is equal i.e. called “Regular polygon” in regular polygon with equal 5-sides called “Pentagon”
Note: A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A minimum of three-line segments are required for making a closed figure, thus a polygon with a minimum of three sides is known as Triangle. Depending on the sides and angles, the polygons are classified into different types, namely:
>Regular Polygon
>Irregular Polygon
>Convex Polygon
>Concave polygon
There are several formulas defined for polygons based on the number of sides.
As we have already given that the sum of all the interior angles of an n-sided polygon \[is{\text{ }}\left( {n{\text{ }}-{\text{ }}2} \right){\text{ }} \times {\text{ }}180^\circ .\]The number of diagonals in a polygon with n sides \[ = {\text{ }}n\left( {n{\text{ }}-{\text{ }}3} \right)/2\].The number of triangles formed by joining the diagonals from one corner of a polygon \[ = {\text{ }}n{\text{ }}-{\text{ }}2\]
The measure of each interior angle of n-sided regular polygon = [(n – 2) × 180°]/n
The measure of each exterior angle of an n-sided regular polygon \[ = {\text{ }}360^\circ /n\]
Every closed shape with 3 or more than 3-sides 9all are side is equal) is called “regular Polygon”.
Regular polygon: - Close shape 3 or more sides are said to be regular polygon when all the sides are equal.
Complete step-by-step solution:
Given that
A polygon with five sides.
Now let us look into the diagram
In this diagram 5-sides and all are sides is equal i.e. called “Regular polygon” in regular polygon with equal 5-sides called “Pentagon”
Note: A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A minimum of three-line segments are required for making a closed figure, thus a polygon with a minimum of three sides is known as Triangle. Depending on the sides and angles, the polygons are classified into different types, namely:
>Regular Polygon
>Irregular Polygon
>Convex Polygon
>Concave polygon
There are several formulas defined for polygons based on the number of sides.
As we have already given that the sum of all the interior angles of an n-sided polygon \[is{\text{ }}\left( {n{\text{ }}-{\text{ }}2} \right){\text{ }} \times {\text{ }}180^\circ .\]The number of diagonals in a polygon with n sides \[ = {\text{ }}n\left( {n{\text{ }}-{\text{ }}3} \right)/2\].The number of triangles formed by joining the diagonals from one corner of a polygon \[ = {\text{ }}n{\text{ }}-{\text{ }}2\]
The measure of each interior angle of n-sided regular polygon = [(n – 2) × 180°]/n
The measure of each exterior angle of an n-sided regular polygon \[ = {\text{ }}360^\circ /n\]
Every closed shape with 3 or more than 3-sides 9all are side is equal) is called “regular Polygon”.
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