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![maths - POLYGON Polygon Basics Polygon closed figure with 3 or more sides 2 Types: polygon 180' all diagonals inside Convex all interior angles 7 Concave polygon at least one interior 180', some diagonals outside: ongle 2 Regular Polygon n-sided polygon hqs: Always convex n vertices interior All sides equdl angles All interior gngles equql n exterior qngles. Interior Angles Exterior Angles 2) x 1809 Sum of interior angles (n Sum of all exterior angles = 3609 360 Each interior angle (regular polygon): Each exterior angle (regular polygon): [(n 2) 18091 Internal angle + External angle = 1809 360% Number of sides: n Exterior angle Diagonals 3) Number of diogonols in 0 polygon Regular Hexagon Large diqgonals: FC = AD = BE = 2g Number of sides = 6 Short diagonals: FD BF = V3a 0B Each interior angle = १२०० Regular hexagon = 6 equilateral triangles Each exterior angle 60% Also = 3 rhombus of equql qred Number of diagonals = 9 (3v3/2)q2' Area Perimeter 6a Circumrodius R = 0 Area Relations in Regular Hexagon Triangle EAC is equilateral If P, Q R dre midpoints: APQR is equilateral with side (3a/2) with side V3a Area(EAC) Area(APQR) 2 8 Area(hexagon)| Area(ABCDEF) Regular Octagon] 2(12' Area 1)02 Number of sides = 8 Perimeter 8a Inradius: r = 2v2 _ 2 135% Each interior angle 12+12 . 0 Each exterior angle = ४५९ Circumradius: R = 12 - 12 Number of diagonals = 20 POLYGON Polygon Basics Polygon closed figure with 3 or more sides 2 Types: polygon 180' all diagonals inside Convex all interior angles 7 Concave polygon at least one interior 180', some diagonals outside: ongle 2 Regular Polygon n-sided polygon hqs: Always convex n vertices interior All sides equdl angles All interior gngles equql n exterior qngles. Interior Angles Exterior Angles 2) x 1809 Sum of interior angles (n Sum of all exterior angles = 3609 360 Each interior angle (regular polygon): Each exterior angle (regular polygon): [(n 2) 18091 Internal angle + External angle = 1809 360% Number of sides: n Exterior angle Diagonals 3) Number of diogonols in 0 polygon Regular Hexagon Large diqgonals: FC = AD = BE = 2g Number of sides = 6 Short diagonals: FD BF = V3a 0B Each interior angle = १२०० Regular hexagon = 6 equilateral triangles Each exterior angle 60% Also = 3 rhombus of equql qred Number of diagonals = 9 (3v3/2)q2' Area Perimeter 6a Circumrodius R = 0 Area Relations in Regular Hexagon Triangle EAC is equilateral If P, Q R dre midpoints: APQR is equilateral with side (3a/2) with side V3a Area(EAC) Area(APQR) 2 8 Area(hexagon)| Area(ABCDEF) Regular Octagon] 2(12' Area 1)02 Number of sides = 8 Perimeter 8a Inradius: r = 2v2 _ 2 135% Each interior angle 12+12 . 0 Each exterior angle = ४५९ Circumradius: R = 12 - 12 Number of diagonals = 20 - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_228035_aef09e3_1771037154801_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=801_sc.jpg "maths - POLYGON Polygon Basics Polygon closed figure with 3 or more sides 2 Types: polygon 180' all diagonals inside Convex all interior angles 7 Concave polygon at least one interior 180', some diagonals outside: ongle 2 Regular Polygon n-sided polygon hqs: Always convex n vertices interior All sides equdl angles All interior gngles equql n exterior qngles. Interior Angles Exterior Angles 2) x 1809 Sum of interior angles (n Sum of all exterior angles = 3609 360 Each interior angle (regular polygon): Each exterior angle (regular polygon): [(n 2) 18091 Internal angle + External angle = 1809 360% Number of sides: n Exterior angle Diagonals 3) Number of diogonols in 0 polygon Regular Hexagon Large diqgonals: FC = AD = BE = 2g Number of sides = 6 Short diagonals: FD BF = V3a 0B Each interior angle = १२०० Regular hexagon = 6 equilateral triangles Each exterior angle 60% Also = 3 rhombus of equql qred Number of diagonals = 9 (3v3/2)q2' Area Perimeter 6a Circumrodius R = 0 Area Relations in Regular Hexagon Triangle EAC is equilateral If P, Q R dre midpoints: APQR is equilateral with side (3a/2) with side V3a Area(EAC) Area(APQR) 2 8 Area(hexagon)| Area(ABCDEF) Regular Octagon] 2(12' Area 1)02 Number of sides = 8 Perimeter 8a Inradius: r = 2v2 _ 2 135% Each interior angle 12+12 . 0 Each exterior angle = ४५९ Circumradius: R = 12 - 12 Number of diagonals = 20 POLYGON Polygon Basics Polygon closed figure with 3 or more sides 2 Types: polygon 180' all diagonals inside Convex all interior angles 7 Concave polygon at least one interior 180', some diagonals outside: ongle 2 Regular Polygon n-sided polygon hqs: Always convex n vertices interior All sides equdl angles All interior gngles equql n exterior qngles. Interior Angles Exterior Angles 2) x 1809 Sum of interior angles (n Sum of all exterior angles = 3609 360 Each interior angle (regular polygon): Each exterior angle (regular polygon): [(n 2) 18091 Internal angle + External angle = 1809 360% Number of sides: n Exterior angle Diagonals 3) Number of diogonols in 0 polygon Regular Hexagon Large diqgonals: FC = AD = BE = 2g Number of sides = 6 Short diagonals: FD BF = V3a 0B Each interior angle = १२०० Regular hexagon = 6 equilateral triangles Each exterior angle 60% Also = 3 rhombus of equql qred Number of diagonals = 9 (3v3/2)q2' Area Perimeter 6a Circumrodius R = 0 Area Relations in Regular Hexagon Triangle EAC is equilateral If P, Q R dre midpoints: APQR is equilateral with side (3a/2) with side V3a Area(EAC) Area(APQR) 2 8 Area(hexagon)| Area(ABCDEF) Regular Octagon] 2(12' Area 1)02 Number of sides = 8 Perimeter 8a Inradius: r = 2v2 _ 2 135% Each interior angle 12+12 . 0 Each exterior angle = ४५९ Circumradius: R = 12 - 12 Number of diagonals = 20 - ShareChat")