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21

Picture (Screen) size

Projection distance (L)

Diag. (X)

Width

Height

Maximum (L1)

Minimum (L2)

300" (762 cm)

240" (609.6cm)

180"(457.2 cm)

48’ 2” (14.7 m)

37’ 4” (11.4 m)

200" (508 cm)

160" (406.4 cm)

120" (304.8 cm)

32’ 2” (9.8 m)

24’ 6” (7.5 m)

150" (381 cm)

120" (304.8 cm)

90" (228.6 cm)

24’ 0” (7.3 m)

18’ 4” (5.6 m)

100" (254 cm)

80" (203.2 cm)

60" (152.4 cm)

15’ 7” (4.8 m)

12’ 1” (3.7 m)

84" (213.3 cm)

67" (170.1 cm)

50" (127 cm)

13’ 1” (4.0 m)

10’ 2” (3.1 m)

72" (182.8 cm)

58" (147.3 cm)

43" (109.2 cm)

11’ 2” (3.4 m)

8’ 5” (2.6 m)

60" (152.4 cm)

48" (121.9 cm)

36" (91.4 cm)

9’ 2” (2.8 m)

7’ 2” (2.2 m)

40" (101.6 cm)

32" (81.2 cm)

24" (60.9 cm)

6’ 2” (1.9 m)

4’ 6” (1.4 m)

The formula for picture size and projection distance
L1 (Max.) = (0.0495x_0.1302) _ 3.28
L2 (Min.) = (0.0383x_0.1153) _ 3.28
X: Picture size (diag.) (in)
L: Projection distance (ft)
L1: Maximum projection distance (ft)
L2: Minimum projection distance (ft)
H: Distance from the lens centre to the bottom of the image (in)

Picture (Screen) size

Projection distance (L)

Diag. (X)

Width

Height

Maximum (L1)

Minimum (L2)

300" (762 cm)

261" (662.9 cm)

147" (373.4 cm)

52’ 5” (16.0 m)

40’ 7” (12.4 m)

200" (508 cm)

174" (441.9 cm)

98" (248.9 cm)

34’ 8” (10.6 m)

26’ 9” (8.2 m)

150" (381 cm)

131" (332.7 cm)

74" (188 cm)

26’ 2” (8.0 m)

20’ 3” (6.2 m)

133" (337.8 cm)

116" (294.6 cm)

65" (165.1 cm)

23’ 3” (7.1 m)

17’ 7” (5.4 m)

106" (269.2 cm)

92" (233.6 cm)

52" (132 cm)

18’ 4” (5.6 m)

14’ 1” (4.3 m)

100" (254 cm)

87" (220.9 cm)

49" (124.4 cm)

17’ 4” (5.3 m)

13’ 5” (4.1 m)

92" (233.6 cm)

80" (203.2 cm)

45" (114.3 cm)

15’ 7” (4.8 m)

12’ 1” (3.7 m)

84" (213.3 cm)

73" (185.4 cm)

41" (104.1 cm)

14’ 4” (4.4 m)

11’ 2” (3.4 m)

72" (182.8 cm)

63" (160 cm)

35" (88.9 cm)

12’ 5” (3.8 m)

9’ 5” (2.9 m)

60" (152.4 cm)

52" (132 cm)

29" (73.6 cm)

10’ 2” (3.1 m)

7’ 9” (2.4 m)

40" (101.6 cm)

35" (88.9 cm)

20" (50.8 cm)

6’ 6” (2.0 m)

5’ 2” (1.6 m)

The formula for picture size and projection distance
L1 (Max.) = (0.0538x_0.1242) _ 3.28
L2 (Min.) = (0.0417x_0.1135) _ 3.28

Note

• 

There is an error of ± 3% in the formula above.

• 

Values with a minus (–) sign indicate the distance of the lens centre below the bottom of the image.

22

Picture (Screen) size

Diag. (X)

Width

Height

Projection distance (L)

Distance from the lens

centre to the bottom of

the image (H)

300" (762 cm)

240" (609.6cm)

180"(457.2 cm)

18’ 1” (5.5 m)

7’ 6” (228.6 cm)

200" (508 cm)

160" (406.4 cm)

120" (304.8 cm)

12’ 0” (3.7 m)

5’ 0” (152.4 cm)

150" (381 cm)

120" (304.8 cm)

90" (228.6 cm)

9’ 0” (2.7 m)

3’ 9” (114.3 cm)

100" (254 cm)

80" (203.2 cm)

60" (152.4 cm)

5’ 11” (1.8 m)

2’ 6” (76.2 cm)

84" (213.3 cm)

67" (170.1 cm)

50" (127 cm)

4’ 11” (1.5 m)

2’ 1” (64.0 cm)

72" (182.8 cm)

58" (147.3 cm)

43" (109.2 cm)

4’ 2” (1.3 m)

1’ 10” (54.9 cm)

60" (152.4 cm)

48" (121.9 cm)

36" (91.4 cm)

3’ 6” (1.1 m)

1’ 6” (45.7 cm)

40" (101.6 cm)

32" (81.2 cm)

24" (60.9 cm)

2’ 3” (0.7 m)

1’ 0” (30.5 cm)

The formula for picture size and projection distance
L = (0.0186x_0.0563) _ 3.28
H = 0.3x
X: Picture size (diag.) (in)
L: Projection distance (ft)
L1: Maximum projection distance (ft)
L2: Minimum projection distance (ft)
H: Distance from the lens centre to the bottom of the image (in)

Picture (Screen) size

Diag. (X)

Width

Height

Projection distance (L)

Distance from the lens

centre to the bottom of

the image (H)

300" (762 cm)

261" (662.9 cm)

147" (373.4 cm)

19’ 9” (6.0 m)

6’ 2” (186.8 cm)

200" (508 cm)

174" (441.9 cm)

98" (248.9 cm)

13’ 2” (4.0 m)

4’ 1” (124.5 cm)

150" (381 cm)

131" (332.7 cm)

74" (188 cm)

9’ 10” (3.0 m)

3’ 1” (93.4 cm)

133" (337.8 cm)

116" (294.6 cm)

65" (165.1 cm)

8’ 8” (2.6 m)

2’ 9” (82.8 cm)

106" (269.2 cm)

92" (233.6 cm)

52" (132 cm)

6’ 10” (2.1 m)

2’ 2” (66.0 cm)

100" (254 cm)

87" (220.9 cm)

49" (124.4 cm)

6’ 6” (2.0 m)

2’ 1” (62.3 cm)

92" (233.6 cm)

80" (203.2 cm)

45" (114.3 cm)

5’ 11” (1.8 m)

1’ 11” (57.3 cm)

84" (213.3 cm)

73" (185.4 cm)

41" (104.1 cm)

5’ 4” (1.6 m)

1’ 9” (52.3 cm)

72" (182.8 cm)

63" (160 cm)

35" (88.9 cm)

4’ 8” (1.4 m)

1’ 6” (44.8 cm)

60" (152.4 cm)

52" (132 cm)

29" (73.6 cm)

3’ 9” (1.2 m)

1’ 3” (37.4 cm)

40" (101.6 cm)

35" (88.9 cm)

20" (50.8 cm)

2’ 6” (0.8 m)

10.0” (24.9 cm)

The formula for picture size and projection distance
L= (0.0203x_0.0579) _ 3.28
H = 0.2451x

Note

• 

There is an error of ± 3% in the formula above.

23

 

Picture (Screen) size

Projection distance (L)

Diag. (X)

Width

Height

Maximum (L1)

Minimum (L2)

300" (762 cm)

240" (609.6cm)

180"(457.2 cm)

119’ 9” (36.5 m)

91’ 6” (27.9 m)

200" (508 cm)

160" (406.4 cm)

120" (304.8 cm)

80’ 1” (24.4 m)

61’ 4” (18.7 m)

150" (381 cm)

120" (304.8 cm)

90" (228.6 cm)

60’ 0” (18.3 m)

45’ 11” (14.0 m)

100" (254 cm)

80" (203.2 cm)

60" (152.4 cm)

40’ 4” (12.3 m)

30’ 10” (9.4 m)

84" (213.3 cm)

67" (170.1 cm)

50" (127 cm)

33’ 10” (10.3 m)

25’ 11” (7.9 m)

72" (182.8 cm)

58" (147.3 cm)

43" (109.2 cm)

29’ 2” (8.9 m)

22’ 4” (6.8 m)

60" (152.4 cm)

48" (121.9 cm)

36" (91.4 cm)

24’ 3” (7.4 m)

18’ 8” (5.7 m)

The formula for picture size and projection distance
L1 (Max.) = (0.1214x0.1272) _ 3.28
L2 (Min.) = (0.0927x0.1233) _ 3.28
X: Picture size (diag.) (in)
L: Projection distance (ft)
L1: Maximum projection distance (ft)
L2: Minimum projection distance (ft)
H: Distance from the lens centre to the bottom of the image (in)

Picture (Screen) size

Projection distance (L)

Diag. (X)

Width

Height

Maximum (L1)

Minimum (L2)

300" (762 cm)

261" (662.9 cm)

147" (373.4 cm)

130’ 7” (39.8 m)

99’ 9” (30.4 m)

200" (508 cm)

174" (441.9 cm)

98" (248.9 cm)

87’ 3” (26.6 m)

66’ 7” (20.3 m)

150" (381 cm)

131" (332.7 cm)

74" (188 cm)

65’ 7” (20.0 m)

50’ 2” (15.3 m)

133" (337.8 cm)

116" (294.6 cm)

65" (165.1 cm)

58’ 1” (17.7 m)

44’ 7” (13.6 m)

106" (269.2 cm)

92" (233.6 cm)

52" (132 cm)

46’ 3” (14.1 m)

35’ 5” (10.8 m)

100" (254 cm)

87" (220.9 cm)

49" (124.4 cm)

44’ 0” (13.4 m)

33’ 6” (10.2 m)

92" (233.6 cm)

80" (203.2 cm)

45" (114.3 cm)

40’ 4” (12.3 m)

30’ 10” (9.4 m)

84" (213.3 cm)

73" (185.4 cm)

41" (104.1 cm)

36’ 9” (11.2 m)

28’ 3” (8.6 m)

72" (182.8 cm)

63" (160 cm)

35" (88.9 cm)

31’ 10” (9.7 m)

24’ 3” (7.4 m)

60" (152.4 cm)

52" (132 cm)

29" (73.6 cm)

26’ 7” (8.1 m)

20’ 4” (6.2 m)

The formula for picture size and projection distance
L1 (Max.) = (0.1323x0.1272) _ 3.28
L2 (Min.) = (0.101x 0.1233) _ 3.28

Note

• 

There is an error of ± 3% in the formula above.

• 

Values with a minus (–) sign indicate the distance of the lens centre below the bottom of the image.

24

Positioning a projector is not just a simple case of installing the correct bracket to the ceiling
and hoping for the best. The type of lens that the projector has will affect how big the image
can be. The two most important considerations, in selecting the type of lens your projector
should have, are the desired image size and desired or available throw distance. These two
measurements can be used to calculate the lens ‘Throw Ratio’ that is needed. This is the
throw distance to screen width ratio.

All three measurements are directly related so knowing the throw ratio and desired screen
size, it is easy to determine the throw distance.

The simple calculation triangle below can be used:

So 

D=W x R

W=D ÷ R

R=D ÷ W

Example  A projector has a lens whose throw ratio is 0.9:1, the required screen width is
2m what is the throw distance?

D=W x R 

D = 2 x 0.9 = 1.8m

In order to give more flexibility, most projectors have a zoom control. This allows the image to
be adjusted for size without moving the projector. The figures given here indicate that by
using the zoom control, throw ratios of 1.5:1 through to 1.9:1 can be achieved. 
The amount of zoom available is specified as a multiplier.
A quoted zoom value of 1-1.3x means that the image can be enlarged by up to 30% with the
zoom control.

D

Screen sizes are usually measured diagonally. As the throw ratio is determined from the
throw distance and screen width, the diagonal measurement should not be used in the
calculation.