Regular Polygon Assignment Help

Assignment Help: >> Properties of triangles >> Regular Polygon

Regular Polygon:

A regular polygon is polygon which has all the sides and angles equal. If the polygon has 'n' sides, sum of the internal angles is (n - 2)p and each angle is 119_Regular Polygon.png.

Remarks:     

  • Sum of exterior angles of a polygon taken in 1 direction (clockwise or anticlockwise) remains constant and it is equal to 360°.
  • In regular polygon centroid, circumcentre, and incentre are same.

Area of Regular Polygon:

Area =1456_Regular Polygon1.png

(Here ais length of side, n is number of sides of polygon, R is radius of the circumscribing circle and r is radius of incircle of the polygon).

 

Area of Sector

Area included between 2 radius and circumference.

Area = R2θ/2, where θ is in radians.

1771_Regular Polygon2.png

Area of Segment

Area between the circumference and the chord

Area = 700_Regular Polygon4.png

1339_Regular Polygon3.png

 

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