5 Sided Polygon

5 Sided Polygon Rafter Table ( 5 - gon )

central angle = 72°
working angle = 36°
plan angle = 54°
miter angle = 8.72 & 12 (36.00°)
hip run per foot = 14.83
apothem multiplier = 1.23607
side wall multiplier = 1.45309

Pitch	Roof Angles		Frieze Block Angles		Hip Rafters					Jack Rafters
Pitch	Roof Pitch Angle	Hip Pitch Angle	Angle	Saw Bevel	Side Cut Angle	Backing Angle	Hip Drop 2x	Hip Drop 4x	Length Per-FT	Side Cut Angle	First 12” O.C.	First 16” O.C.	First 24” O.C.	Spaced 12” O.C.	Spaced 16” O.C.	Spaced 24” O.C.	Multiplier
0	0.00	0.00	0	36	36.00	0.00	0.00	0.00	14.83	36	17.31	22.81	33.82	16.52	22.02	33.03	1.37638
1	4.76	3.86	3.45	35.86	35.94	2.80	0.04	0.09	14.87	35.91	17.37	22.89	33.94	16.57	22.10	33.15	1.38115
2	9.46	7.68	6.81	35.44	35.75	5.55	0.07	0.17	14.97	35.63	17.54	23.13	34.29	16.74	22.33	33.49	1.39537
3	14.04	11.43	9.99	34.77	35.46	8.20	0.11	0.26	15.13	35.18	17.84	23.51	34.86	17.02	22.70	34.05	1.41874
4	18.43	15.09	12.94	33.89	35.05	10.71	0.15	0.34	15.36	34.58	18.24	24.04	35.65	17.41	23.21	34.82	1.45083
5	22.62	18.63	15.61	32.86	34.55	13.07	0.18	0.43	15.65	33.85	18.75	24.71	36.64	17.89	23.86	35.79	1.49108
6	26.57	22.02	18.00	31.72	33.96	15.24	0.22	0.51	16.00	33.02	19.35	25.50	37.81	18.47	24.62	36.93	1.53884
7	30.26	25.26	20.11	30.51	33.31	17.23	0.26	0.60	16.40	32.11	20.03	26.41	39.16	19.12	25.50	38.24	1.59344
8	33.69	28.34	21.95	29.28	32.60	19.03	0.29	0.69	16.85	31.15	20.80	27.42	40.65	19.85	26.47	39.70	1.65421
9	36.87	31.25	23.55	28.05	31.85	20.65	0.33	0.77	17.35	30.17	21.63	28.51	42.28	20.65	27.53	41.29	1.72048
10	39.81	33.99	24.94	26.84	31.07	22.10	0.37	0.86	17.89	29.17	22.53	29.69	44.03	21.50	28.67	43.00	1.79165
11	42.51	36.56	26.15	25.68	30.27	23.40	0.40	0.94	18.47	28.17	23.48	30.94	45.88	22.41	29.87	44.81	1.86716
12	45.00	38.97	27.19	24.56	29.46	24.56	0.44	1.03	19.08	27.19	24.47	32.26	47.83	23.36	31.14	46.72	1.94650
13	47.29	41.23	28.10	23.50	28.65	25.59	0.48	1.11	19.72	26.23	25.51	33.63	49.86	24.35	32.47	48.70	2.02922
14	49.40	43.35	28.88	22.49	27.85	26.51	0.51	1.20	20.40	25.31	26.59	35.05	51.97	25.38	33.84	50.76	2.11494
15	51.34	45.32	29.57	21.54	27.06	27.32	0.55	1.29	21.10	24.41	27.70	36.51	54.14	26.44	35.25	52.88	2.20329
16	53.13	47.17	30.17	20.65	26.29	28.05	0.59	1.37	21.82	23.55	28.84	38.02	56.37	27.53	36.70	55.06	2.29397
17	54.78	48.89	30.69	19.81	25.53	28.70	0.62	1.46	22.56	22.73	30.01	39.56	58.65	28.64	38.19	57.28	2.38672
18	56.31	50.51	31.15	19.03	24.80	29.28	0.66	1.54	23.32	21.95	31.20	41.12	60.97	29.78	39.70	59.55	2.48131
19	57.72	52.02	31.56	18.29	24.09	29.80	0.70	1.63	24.10	21.20	32.41	42.72	63.34	30.93	41.24	61.86	2.57753
20	59.04	53.44	31.92	17.60	23.40	30.27	0.73	1.71	24.90	20.50	33.64	44.34	65.74	32.10	42.80	64.20	2.67521
21	60.26	54.77	32.24	16.96	22.74	30.69	0.77	1.80	25.71	19.82	34.88	45.98	68.17	33.29	44.39	66.58	2.77419
22	61.39	56.01	32.53	16.35	22.10	31.07	0.81	1.89	26.53	19.18	36.14	47.64	70.63	34.49	45.99	68.98	2.87434
23	62.45	57.18	32.79	15.78	21.49	31.41	0.84	1.97	27.37	18.58	37.41	49.31	73.12	35.71	47.61	71.41	2.97554
24	63.43	58.28	33.02	15.24	20.91	31.72	0.88	2.06	28.21	18.00	38.70	51.01	75.63	36.93	49.24	73.86	3.07768

Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 16.85)
SS Angle = Speed Square Angle
Saw Angle produces compound Speed Square Angle

Tongue (8.00) Blade (12.00) for Rafter Plumb Cut Angle (SS Angle 33.69)
Tongue (12.00) Blade (8.00) for Rafter Level Cut Angle (SS Angle 56.31)

Tongue (8.00) Blade (14.83) for Hip Rafter Plumb Cut Angle (SS Angle 28.34)
Tongue (14.83) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 61.66)

Tongue (10.78) Blade (16.85) for Hip Side Cut Angle (SS Angle 32.60) (Saw Angle 54.00)
Tongue (5.81) Blade (16.85) for Hip Backing Angle (SS Angle 19.03)

Tongue (8.72) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 31.15) (Saw Angle 54.00)

Tongue (5.81) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 21.95) (Saw Angle 19.03)
Tongue (8.72) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 31.15)

Tongue (5.81) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 21.95) (Saw Angle 19.03)
Tongue (8.72) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 31.15)

Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (14.83) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 28.34)
Tongue (8.72) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 36.00) (Saw Angle 36.00)

Tongue (5.81) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 21.95)
Tongue (8.72) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 31.15) (Saw Angle 29.28)

Tongue (5.81) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 21.95)
Tongue (8.72) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 31.15) (Saw Angle 29.28)

Tongue (2.37) Blade (8.72) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 11.15)
Tongue (8.72) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 31.15) (Saw Bevel Angle 29.28)