99

Regular polygons inscribed in a circumference

Embed Size (px)

DESCRIPTION

Regular polygons inscribed in a circumference: Equilateral triangle. Square. Pentagon. Hexagon. Heptagon. Octagon

Citation preview

Page 1: Regular polygons inscribed in a circumference
Page 2: Regular polygons inscribed in a circumference
Page 3: Regular polygons inscribed in a circumference

ºO

Page 4: Regular polygons inscribed in a circumference

ºO

0

Page 5: Regular polygons inscribed in a circumference

ºO

140

Page 6: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 7: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 8: Regular polygons inscribed in a circumference

ºO

A

P

Page 9: Regular polygons inscribed in a circumference

ºO

A

P0° 0

Page 10: Regular polygons inscribed in a circumference

ºO

A

P

0° 140

Page 11: Regular polygons inscribed in a circumference

ºO

A

P

140

Page 12: Regular polygons inscribed in a circumference

ºO

A

P

Page 13: Regular polygons inscribed in a circumference

ºO

A

P

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

0 1 2 3 4 50°

Page 14: Regular polygons inscribed in a circumference

ºO

A

P

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

0 1 2 3 4 50°

Page 15: Regular polygons inscribed in a circumference

ºO

A

P

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

59°

Page 16: Regular polygons inscribed in a circumference

ºO

A

P

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

59°

Page 17: Regular polygons inscribed in a circumference

ºO

A

P

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

59°

Page 18: Regular polygons inscribed in a circumference

ºO

A

P

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

59°

Page 19: Regular polygons inscribed in a circumference

ºO

A

P

Page 20: Regular polygons inscribed in a circumference
Page 21: Regular polygons inscribed in a circumference

ºO

140

Page 22: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 23: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 24: Regular polygons inscribed in a circumference

ºO012345

0123456789101112131415180°

Page 25: Regular polygons inscribed in a circumference

ºO

Page 26: Regular polygons inscribed in a circumference

ºO

Page 27: Regular polygons inscribed in a circumference
Page 28: Regular polygons inscribed in a circumference

ºO

140

Page 29: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 30: Regular polygons inscribed in a circumference

ºO0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

0 1 2 3 4 50°

Page 31: Regular polygons inscribed in a circumference

ºO

Page 32: Regular polygons inscribed in a circumference

ºO

140

Page 33: Regular polygons inscribed in a circumference

ºO

0°140

Page 34: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 35: Regular polygons inscribed in a circumference

ºO

0°160

Page 36: Regular polygons inscribed in a circumference

ºO

0°160

Page 37: Regular polygons inscribed in a circumference

ºO

Page 38: Regular polygons inscribed in a circumference

ºO

Page 39: Regular polygons inscribed in a circumference

ºO

0°172

Page 40: Regular polygons inscribed in a circumference

ºO

172

Page 41: Regular polygons inscribed in a circumference

ºO

0°172

Page 42: Regular polygons inscribed in a circumference

ºO

172

Page 43: Regular polygons inscribed in a circumference

ºO

0°172

Page 44: Regular polygons inscribed in a circumference

ºO

Page 45: Regular polygons inscribed in a circumference

ºO

Page 46: Regular polygons inscribed in a circumference
Page 47: Regular polygons inscribed in a circumference

ºO

Page 48: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 49: Regular polygons inscribed in a circumference

ºO

0°0

Page 50: Regular polygons inscribed in a circumference

ºO

0°144

Page 51: Regular polygons inscribed in a circumference

ºO

144

Page 52: Regular polygons inscribed in a circumference

ºO

0°135

Page 53: Regular polygons inscribed in a circumference

ºO

135

Page 54: Regular polygons inscribed in a circumference

ºO

Page 55: Regular polygons inscribed in a circumference

ºO

Page 56: Regular polygons inscribed in a circumference
Page 57: Regular polygons inscribed in a circumference

ºO

140

Page 58: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 59: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 60: Regular polygons inscribed in a circumference

ºO

0°135

Page 61: Regular polygons inscribed in a circumference

ºO

135

Page 62: Regular polygons inscribed in a circumference

ºO

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

0 1 2 3 4 50°

Page 63: Regular polygons inscribed in a circumference

ºO

122

Page 64: Regular polygons inscribed in a circumference

ºO

122

Page 65: Regular polygons inscribed in a circumference

ºO

122

Page 66: Regular polygons inscribed in a circumference

ºO

122

Page 67: Regular polygons inscribed in a circumference

ºO

0°122

Page 68: Regular polygons inscribed in a circumference

ºO

0°122

Page 69: Regular polygons inscribed in a circumference

ºO

0° 122

Page 70: Regular polygons inscribed in a circumference

ºO

0°122

Page 71: Regular polygons inscribed in a circumference

ºO

Page 72: Regular polygons inscribed in a circumference

ºO

Page 73: Regular polygons inscribed in a circumference

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

Page 74: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration: 0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Page 75: Regular polygons inscribed in a circumference

ºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

90°

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

Page 76: Regular polygons inscribed in a circumference

ºO012345

0123456789101112131415180°

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

Page 77: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

Page 78: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

1020

3040

5060

70

80

100

110120130140

150160

170

SMART Geodreieck

by ARISTO™

140

150

160

170

130

120

110

100

50 60 70 8040302010 90

5

10

15

20

25

30

135°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Page 79: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

1020

3040

5060

70

80

100

110120130140

150160

170

SMART Geodreieck

by ARISTO™

140

150

160

170

130

120

110

100

50 60 70 8040302010 90

5

10

15

20

25

30

135°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Page 80: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

10

2030405060

70

80

100

110120

130140

150160

170

SMART Geo

dreiec

k

by ARISTO™

140 150 160 170130120110100

5060

7080

4030

2010

90

5

10

15

20

25

30

136°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Page 81: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

10

2030405060

70

80

100

110120

130140

150160

170

SMART Geo

dreiec

k

by ARISTO™

140 150 160 170130120110100

5060

7080

4030

2010

90

5

10

15

20

25

30

136°

1

1

2

2

3

3

4

4

5

5

6

6

7

7

Page 82: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

Page 83: Regular polygons inscribed in a circumference

ºO

Drawing an OCTAGON inscribed in a circumference:It is so easy to draw an inscribed octagon that you can follow the steps shown in the illustration:

Page 84: Regular polygons inscribed in a circumference
Page 85: Regular polygons inscribed in a circumference

ºOºO

Page 86: Regular polygons inscribed in a circumference

ºOºO

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

0

1

2

3

4

5

6

90°

Page 87: Regular polygons inscribed in a circumference

ºOºO

Page 88: Regular polygons inscribed in a circumference

ºOºO

Page 89: Regular polygons inscribed in a circumference

ºOºO

Page 90: Regular polygons inscribed in a circumference

ºOºO0°278

Page 91: Regular polygons inscribed in a circumference

ºOºO

278

Page 92: Regular polygons inscribed in a circumference

ºOºO

278

Page 93: Regular polygons inscribed in a circumference

ºOºO

Page 94: Regular polygons inscribed in a circumference

ºOºO

01

23

45

67

89

1011

1213

1415

0

1

2

3

4

5

17°

Page 95: Regular polygons inscribed in a circumference

ºOºO

01

23

45

67

89

1011

1213

1415

0

1

2

3

4

5

17°

Page 96: Regular polygons inscribed in a circumference

ºOºO

Page 97: Regular polygons inscribed in a circumference

ºOºO

Page 98: Regular polygons inscribed in a circumference

ºOºO

95

Page 99: Regular polygons inscribed in a circumference

ºOºO