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Unit 4 Part 2

Unit 4 Part 2. Regular Polygons. Polygons. Polygons are a enclosed flat (on the same plane) shape. Names of Polygons. Triangle has 3 sides Quadrilateral has 4 sides Pentagon has 5 sides Hexagon has 6 sides Heptagon has 7 sides Octagon has 8 sides

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Unit 4 Part 2

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  1. Unit 4 Part 2 Regular Polygons

  2. Polygons • Polygons are a enclosed flat (on the same plane) shape.

  3. Names of Polygons • Triangle has 3 sides • Quadrilateral has 4sides • Pentagon has 5sides • Hexagon has 6sides • Heptagon has 7sides • Octagon has 8sides • Nonagon has 9sides • Decagon has 10sides • Hendecagon has 11sides • Dodecagon has 12sides

  4. Regular Polygons • All angles are equiangular and all sides are equilateral. ( Meaning all the side and angles are the same size )

  5. Polygons • To find the total number of degrees inside any polygon use the formula below.

  6. Total degrees of Polygons • Triangle has 3 sides , 180 degrees • Quadrilateral has 4 sides , 360degrees • Pentagon has 5 sides , 540degrees • Hexagon has 6 sides , 720degrees • Heptagon has 7 sides , 900degrees • Octagon has 8 sides , 1080degrees • Nonagon has 9 sides , 1260degrees • Decagon has 10 sides , 1440degrees • Hendecagon has 11 sides , 1620degrees • Dodecagon has 12 sides , 1800degrees

  7. Exterior angles of any polygon = 360° A E B D C

  8. Exterior Angle of a Regular Polygon • To calculate a single exterior angle of a regular polygon use the formula below.

  9. Examples • The name of the polygon WATER is a _____________ If ∠W =(3x +1)°, ∠A=(2x+9)°, ∠T=(2x+10)°, ∠E=(x+128)°, and ∠T=(x+131)°, then determine the size of each angle. • Solution A T W R E

  10. Example • What is the size of an exterior angle of a Dodecagon?

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