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You want to have an illuminance of 1000 lux on the Player #2(under the SPOTLIGHT#2 – the rectangular beam). What is the Luminous Flux (lumen) the lamp need to releases assuming homogeneous distribution of the light in the illuminated rectangle?

Question #1
Given the following scene on the stage
Player #1
Diameter 2meters
Player #3
ORAN
Diameter 1meter
Player #2
High 2m
Width 1m
All spotlights are place at 15 meters from the stage. You want to produce a circle of light of 2meters
diameter with the SPOTLIGHT#1 on the Player #1, a rectangle of light of 2m by 1m with the SPOTLIGHT
#2 on the Player #2 and a circle of light of 1meter diameter with the SPOTLIGHT#3 on the Player #3

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