Compound angle settings for popular structures.

MITRED CORNERS

To make an enclosed construction out of straight pieces the corner angles must add up to 360 degrees.
When the side segments are all of equal length and rectangular, simply divide 360 by the number of sides to give the corner angle.
Because two sides come together to make each corner angle, each end of a side segment should be mitre cut to exactly half the corner angle.

COMPOUND MITRE SHAPES

For containers with sloping sides giving different size openings at each end, means there is also a pitch or bevel angle. To cut these segments a compound mitre angle is required. The table indicates the combined angle settings needed.

Most power tool angle settings cannot usually be relied upon to be precise. Don't chance wasting good material, its best to test your settings on scrap. To cut the first edge of a segment, lay it inner side up with the narrowest end against the fence and cut off the right end. For the second cut - opposite edge - do not alter the tool settings, just place the segment outer side up with the widest end against the fence and cut off the left end.

CORNER ANGLES AND MITRE ANGLES OF REGULAR POLYGON SIDES.
Name of shape
No. of Sides
Corner Angle
Mitre Angle
Multiplier
TRIANGLE
3
120
60
  
TETRAGON
4
90
45
1.414
POLYGONS
5 or more
-
-
-
PENTAGON
5
72
36
1.1755
HEXAGON
6
60
30
1.000
HEPTAGON
7
51.42
25.71
0.8677
OCTAGON
8
45
22.5
0.7854
ENNEAGON
9
40
20
0.684
DECAGON
10
36
18
0.618
HENDECAGON
11
32.72
16.36
0.5633
DODECAGON
12
30
15
0.5176

FORMULA
To calculate the external side length, multiply the radius of enclosing circle by the multiplier.

To find the radius divide the external side length by the multiplier.

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Compound angle settings for popular structures.

MITRED CORNERS

To make an enclosed construction out of straight pieces the corner angles must add up to 360 degrees.
When the side segments are all of equal length and rectangular, simply divide 360 by the number of sides to give the corner angle.
Because two sides come together to make each corner angle, each end of a side segment should be mitre cut to exactly half the corner angle.

 COMPOUND MITRE SHAPES

For containers with sloping sides giving different size openings at each end, means there is also a pitch or bevel angle. To cut these segments a compound mitre angle is required. The table indicates the combined angle settings needed.

Most power tool angle settings cannot usually be relied upon to be precise. Don't chance wasting good material, its best to test your settings on scrap.
To cut the first edge of a segment, lay it inner side up with the narrowest end against the fence and cut off the right end. For the second cut - opposite edge - do not alter the tool settings, just place the segment outer side up with the widest end against the fence and cut off the left end.

CORNER ANGLES AND MITRE ANGLES OF REGULAR POLYGON SIDES.
Name of shape
No. of Sides
Corner Angle
Mitre Angle
Multiplier
TRIANGLE
3
120
60
  
TETRAGON
4
90
45
1.414
POLYGONS
5 or more
-
-
-
PENTAGON
5
72
36
1.1755
HEXAGON
6
60
30
1.000
HEPTAGON
7
51.42
25.71
0.8677
OCTAGON
8
45
22.5
0.7854
ENNEAGON
9
40
20
0.684
DECAGON
10
36
18
0.618
HENDECAGON
11
32.72
16.36
0.5633
DODECAGON
12
30
15
0.5176

FORMULA
To calculate the external side length, multiply the radius of enclosing circle by the multiplier.

To find the radius divide the external side length by the multiplier.

Compound, Mitre, Angle, Tables

Last updated 721 days ago by admin

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Compound angle settings for popular structures.

MITRED CORNERS

To make an enclosed construction out of straight pieces the corner angles must add up to 360 degrees.
When the side segments are all of equal length and rectangular, simply divide 360 by the number of sides to give the corner angle.
Because two sides come together to make each corner angle, each end of a side segment should be mitre cut to exactly half the corner angle.

COMPOUND MITRE SHAPES

For containers with sloping sides giving different size openings at each end, means there is also a pitch or bevel angle. To cut these segments a compound mitre angle is required. The table indicates the combined angle settings needed.

Most power tool angle settings cannot usually be relied upon to be precise. Don't chance wasting good material, its best to test your settings on scrap. To cut the first edge of a segment, lay it inner side up with the narrowest end against the fence and cut off the right end. For the second cut - opposite edge - do not alter the tool settings, just place the segment outer side up with the widest end against the fence and cut off the left end.

CORNER ANGLES AND MITRE ANGLES OF REGULAR POLYGON SIDES.
Name of shape
No. of Sides
Corner Angle
Mitre Angle
Multiplier
TRIANGLE
3
120
60
TETRAGON
4
90
45
1.414
POLYGONS
5 or more
-
-
-
PENTAGON
5
72
36
1.1755
HEXAGON
6
60
30
1.000
HEPTAGON
7
51.42
25.71
0.8677
OCTAGON
8
45
22.5
0.7854
ENNEAGON
9
40
20
0.684
DECAGON
10
36
18
0.618
HENDECAGON
11
32.72
16.36
0.5633
DODECAGON
12
30
15
0.5176

FORMULA
To calculate the external side length, multiply the radius of enclosing circle by the multiplier.

To find the radius divide the external side length by the multiplier.

]]>
Compound angle settings for popular structures.

MITRED CORNERS

To make an enclosed construction out of straight pieces the corner angles must add up to 360 degrees.
When the side segments are all of equal length and rectangular, simply divide 360 by the number of sides to give the corner angle.
Because two sides come together to make each corner angle, each end of a side segment should be mitre cut to exactly half the corner angle.

COMPOUND MITRE SHAPES

For containers with sloping sides giving different size openings at each end, means there is also a pitch or bevel angle. To cut these segments a compound mitre angle is required. The table indicates the combined angle settings needed.

Most power tool angle settings cannot usually be relied upon to be precise. Don't chance wasting good material, its best to test your settings on scrap. To cut the first edge of a segment, lay it inner side up with the narrowest end against the fence and cut off the right end. For the second cut - opposite edge - do not alter the tool settings, just place the segment outer side up with the widest end against the fence and cut off the left end.

CORNER ANGLES AND MITRE ANGLES OF REGULAR POLYGON SIDES.
Name of shape
No. of Sides
Corner Angle
Mitre Angle
Multiplier
TRIANGLE
3
120
60
  
TETRAGON
4
90
45
1.414
POLYGONS
5 or more
-
-
-
PENTAGON
5
72
36
1.1755
HEXAGON
6
60
30
1.000
HEPTAGON
7
51.42
25.71
0.8677
OCTAGON
8
45
22.5
0.7854
ENNEAGON
9
40
20
0.684
DECAGON
10
36
18
0.618
HENDECAGON
11
32.72
16.36
0.5633
DODECAGON
12
30
15
0.5176

FORMULA
To calculate the external side length, multiply the radius of enclosing circle by the multiplier.

To find the radius divide the external side length by the multiplier.

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