Screen Size and Projection Distance

When using a wide screen (16:9): In case of displaying the 16:9 picture on the whole of the 16:9 screen

 

 

Picture (Screen) size

 

 

 

Projection distance [L]

Distance from the lens center

Distance from the

 

 

 

 

 

to the bottom of the image [H]

lens center to the

 

 

 

 

 

 

 

 

 

 

 

 

Diag. [x]

 

Width

 

Height

Minimum [L1]

Maximum [L2]

Lower[H1]

Upper[H2]

center of the image[W]

500"

(1270 cm)

 

1107 cm

(436")

 

623 cm

(245")

15.7 m

(51' 7")

31.7 m

(103' 11")

-623 cm

(-245 9/64")

0 cm

(0")

±210 cm

(±82 51/64")

400"

(1016 cm)

 

886 cm

(349")

 

498 cm

(196")

12.6 m

(41' 4")

25.3 m

(83' 2")

-498 cm

(-196 7/64")

0 cm

(0")

±168 cm

(±66 15/64")

300"

(762 cm)

 

664 cm

(261")

 

374 cm

(147")

9.4 m

(31' 0")

19.0 m

(62' 4")

-374 cm

(-147 5/64")

0 cm

(0")

±126 cm

(±49 43/64")

250"

(635 cm)

 

553 cm

(218")

 

311 cm

(123")

7.9 m

(25' 10")

15.8 m

(52' 0")

-311 cm

(-122 9/16")

0 cm

(0")

±105 cm

(±41 13/32")

200"

(508 cm)

 

443 cm

(174")

 

249 cm

(98")

6.3 m

(20' 8")

12.7 m

(41' 7")

-249 cm

(-98 1/16")

0 cm

(0")

±84 cm

(±33 1/8")

150"

(381 cm)

 

332 cm

(131")

 

187 cm

(74")

4.7 m

(15' 6")

9.5 m

(31' 2")

-187 cm

(-73 35/64")

0 cm

(0")

±63 cm

(±24 27/32")

120"

(305 cm)

 

266 cm

(105")

 

149 cm

(59")

3.8 m

(12' 5")

7.6 m

(24' 11")

-149 cm

(-58 53/64")

0 cm

(0")

±50 cm

(±19 7/8")

100"

(254 cm)

 

221 cm

(87")

 

125 cm

(49")

3.1 m

(10' 4")

6.3 m

(20' 9")

-125 cm

(-49 1/32")

0 cm

(0")

±42 cm

(±16 9/16")

80"

(203 cm)

 

177 cm

(70")

 

100 cm

(39")

2.5 m

(8' 3")

5.1 m

(16' 8")

-100 cm

(-39 7/32")

0 cm

(0")

±34 cm

(±13 1/4")

60"

(152 cm)

 

133 cm

(52")

 

75 cm

(29")

1.9 m

(6' 2")

3.8 m

(12' 6")

-75 cm

(-29 27/64")

0 cm

(0")

±25 cm

(±9 15/16")

40"

(102 cm)

 

89 cm

(35")

 

50 cm

(20")

1.3 m

(4' 2")

2.5 m

(8' 4")

-50 cm

(-19 39/64")

0 cm

(0")

±17 cm

(±6 5/8")

x

: Picture size (diag.) (in/cm): 40" – 500"

The formula for picture size and projection distance

L1

: Minimum projection distance (m/ft)

[m/cm]

 

[Feet/inches]

L2

: Maximum projection distance (m/ft)

L1

(m)

= 0.03147 x

L1

(ft)

= 0.03147 x / 0.3048

H1

: Lower distance from the lens center to the bottom of the image (cm/in)

L2

(m)

= 0.06337 x

L2

(ft)

= 0.06337 x / 0.3048

H2

: Upper distance from the lens center to the bottom of the image (cm/in)

H1

(cm)

= -1.2453 x

H1

(in)

= -1.2453 x / 2.54

W

: Distance from the lens center to the center of the image cm/in)

H2

(cm)

= 0 x

H2

(in)

= 0 x / 2.54

 

 

W

(cm)

= 0.42062 x

W

(in)

= 0.42062 x / 2.54

When using a normal screen (4:3): In case of displaying the 4:3 picture on the whole of the 4:3 screen.

 

 

Picture (Screen) size

 

 

 

Projection distance [L]

Distance from the lens center

Distance from the

 

 

 

 

 

to the bottom of the image [H]

lens center to the

 

 

 

 

 

 

 

 

 

 

 

 

Diag. [x]

 

Width

 

Height

Minimum [L1]

Maximum [L2]

Lower[H1]

Upper[H2]

center of the image[W]

400"

(1016 cm)

 

813 cm

(320")

 

610 cm

(240")

15.4 m

(50' 6")

31.0 m

(101' 9")

-610 cm

(-240")

0 cm

(0")

±206 cm

(±81 1/16")

300"

(762 cm)

 

610 cm

(240")

 

457 cm

(180")

11.6 m

(37' 11")

23.3 m

(76' 4")

-457 cm

(-180")

0 cm

(0")

±154 cm

(±60 51/64")

250"

(635 cm)

 

508 cm

(200")

 

381 cm

(150")

9.6 m

(31' 7")

19.4 m

(63' 7")

-381 cm

(-150")

0 cm

(0")

±129 cm

(±50 43/64")

200"

(508 cm)

 

406 cm

(160")

 

305 cm

(120")

7.7 m

(25' 3")

15.5 m

(50' 11")

-305 cm

(-120")

0 cm

(0")

±103 cm

(±40 17/32")

150"

(381 cm)

 

305 cm

(120")

 

229 cm

(90")

5.8 m

(18' 11")

11.6 m

(38' 2")

-229 cm

(-90")

0 cm

(0")

±77 cm

(±30 13/32")

120"

(305 cm)

 

244 cm

(96")

 

183 cm

(72")

4.6 m

(15' 2")

9.3 m

(30' 6")

-183 cm

(-72")

0 cm

(0")

±62 cm

(±24 5/16")

100"

(254 cm)

 

203 cm

(80")

 

152 cm

(60")

3.9 m

(12' 8")

7.8 m

(25' 5")

-152 cm

(-60")

0 cm

(0")

±51 cm

(±20 17/64")

80"

(203 cm)

 

163 cm

(64")

 

122 cm

(48")

3.1 m

(10' 1")

6.2 m

(20' 4")

-122 cm

(-48")

0 cm

(0")

±41 cm

(±16 7/32")

70"

(178 cm)

 

142 cm

(56")

 

107 cm

(42")

2.7 m

(8' 10")

5.4 m

(17' 10")

-107 cm

(-42")

0 cm

(0")

±36 cm

(±14 3/16")

60"

(152 cm)

 

122 cm

(48")

 

91 cm

(36")

2.3 m

(7' 7")

4.7 m

(15' 3")

-91 cm

(-36")

0 cm

(0")

±31 cm

(±12 5/32")

40"

(102 cm)

 

81 cm

(32")

 

61 cm

(24")

1.5 m

(5' 1")

3.1 m

(10' 2")

-61 cm

(-24")

0 cm

(0")

±21 cm

(±8 7/64")

x

: Picture size (diag.) (in/cm): 40" – 400"

The formula for picture size and projection distance

L1

: Minimum projection distance (m/ft)

[m/cm]

 

[Feet/inches]

L2

: Maximum projection distance (m/ft)

L1

(m)

= 0.03851 x

L1

(ft)

= 0.03851 x / 0.3048

H1

: Lower distance from the lens center to the bottom of the image (cm/in)

L2

(m)

= 0.07755 x

L2

(ft)

= 0.07755 x / 0.3048

H2

: Upper distance from the lens center to the bottom of the image (cm/in)

H1

(cm)

= -1.52404 x

H1

(in)

= -1.52404 x / 2.54

W

: Distance from the lens center to the center of the image cm/in)

H2

(cm)

= 0 x

H2

(in)

= 0 x / 2.54

 

 

W

(cm)

= 0.51477 x

W

(in)

= 0.51477 x / 2.54

When using a normal screen (4:3): In case of setting the 16:9 picture to the full horizontal width of the 4:3 screen

 

 

Picture (Screen) size

 

 

 

Projection distance [L]

Distance from the lens center

Distance from the

 

 

 

 

 

to the bottom of the image [H]

lens center to the

 

 

 

 

 

 

 

 

 

 

 

 

Diag. [x]

 

Width

 

Height

Minimum [L1]

Maximum [L2]

Lower[H1]

Upper[H2]

center of the image[W]

500"

(1270 cm)

 

1016 cm

(400")

 

762 cm

(300")

14.4 m

(47' 5")

29.1 m

(95' 5")

-572 cm

(-225")

0 cm

(0")

±193 cm

(±76")

400"

(1016 cm)

 

813 cm

(320")

 

610 cm

(240")

11.6 m

(37' 11")

23.3 m

(76' 4")

-457 cm

(-180")

0 cm

(0")

±154 cm

(±60 51/64")

300"

(762 cm)

 

610 cm

(240")

 

457 cm

(180")

8.7 m

(28' 5")

17.5 m

(57' 3")

-343 cm

(-135")

0 cm

(0")

±116 cm

(±45 19/32")

250"

(635 cm)

 

508 cm

(200")

 

381 cm

(150")

7.2 m

(23' 8")

14.5 m

(47' 9")

-286 cm

(-112 1/2")

0 cm

(0")

±97 cm

(±38")

200"

(508 cm)

 

406 cm

(160")

 

305 cm

(120")

5.8 m

(18' 11")

11.6 m

(38' 2")

-229 cm

(-90")

0 cm

(0")

±77 cm

(±30 13/32")

150"

(381 cm)

 

305 cm

(120")

 

229 cm

(90")

4.3 m

(14' 3")

8.7 m

(28' 8")

-171 cm

(-67 1/2")

0 cm

(0")

±58 cm

(±22 51/64")

120"

(305 cm)

 

244 cm

(96")

 

183 cm

(72")

3.5 m

(11' 4")

7.0 m

(22' 11")

-137 cm

(-54")

0 cm

(0")

±46 cm

(±18 15/64")

100"

(254 cm)

 

203 cm

(80")

 

152 cm

(60")

2.9 m

(9' 6")

5.8 m

(19' 1")

-114 cm

(-45")

0 cm

(0")

±39 cm

(±15 13/64")

80"

(203 cm)

 

163 cm

(64")

 

122 cm

(48")

2.3 m

(7' 7")

4.7 m

(15' 3")

-91 cm

(-36")

0 cm

(0")

±31 cm

(±12 5/32")

70"

(178 cm)

 

142 cm

(56")

 

107 cm

(42")

2.0 m

(6' 8")

4.1 m

(13' 4")

-80 cm

(-31 1/2")

0 cm

(0")

±27 cm

(±10 41/64")

60"

(152 cm)

 

122 cm

(48")

 

91 cm

(36")

1.7 m

(5' 8")

3.5 m

(11' 5")

-69 cm

(-27")

0 cm

(0")

±23 cm

(±9 1/8")

40"

(102 cm)

 

81 cm

(32")

 

61 cm

(24")

1.2 m

(3' 9")

2.3 m

(7' 8")

-46 cm

(-18")

0 cm

(0")

±15 cm

(±6 5/64")

x

: Picture size (diag.) (in/cm): 40" – 500"

The formula for picture size and projection distance

L1

: Minimum projection distance (m/ft)

[m/cm]

 

[Feet/inches]

L2

: Maximum projection distance (m/ft)

L1

(m)

= 0.02889 x

L1

(ft)

= 0.02889 x / 0.3048

H1

: Lower distance from the lens center to the bottom of the image (cm/in)

L2

(m)

= 0.05817 x

L2

(ft)

= 0.05817 x / 0.3048

H2

: Upper distance from the lens center to the bottom of the image (cm/in)

H1

(cm)

= -1.14303 x

H1

(in)

= -1.14303 x / 2.54

W

: Distance from the lens center to the center of the image cm/in)

H2

(cm)

= 0 x

H2

(in)

= 0 x / 2.54

 

 

W

(cm)

= 0.38608 x

W

(in)

= 0.38608 x / 2.54

Note

When the distance from the lens center to the bottom of the image [H] is a negative number, this indicates that the bottom of the image is below the lens center.

Allow a margin of error in the value in the diagrams above.

Setup

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Image 23
Sharp XV-Z30000 appendix Screen Size and Projection Distance, Formula for picture size and projection distance