anonymous
  • anonymous
A sphere of radius is illuminated by a light source that is 4m away from the sphere's center. What is the surface area of the sphere that is brightened?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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alekos
  • alekos
whats the radius?
anonymous
  • anonymous
oh sorry i forgot , it's 2m :)
anonymous
  • anonymous
@alekos

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anonymous
  • anonymous
@Michele_Laino can you help me with this question :)
alekos
  • alekos
have you been given an answer?
anonymous
  • anonymous
no but theses are the choices : a. pi b. 2 pi c 4 pi d 6pi
Michele_Laino
  • Michele_Laino
I think that your problem can be represented like below: |dw:1449329457572:dw|
anonymous
  • anonymous
O.o
Michele_Laino
  • Michele_Laino
we have \(PQ=4\), \(OQ=2\), Then, using the 2-nd theorem of Euclid, we get \(OH=1\)
Michele_Laino
  • Michele_Laino
oops..\(OP=4\)
Michele_Laino
  • Michele_Laino
|dw:1449329674321:dw| then \(OS=2-1=1\) and hence the requested surface is: \(2 \cdot \pi \; \cdot OQ \;HS=2 \;\cdot \pi\;\cdot 2\;\cdot 1=4\;\pi\)
anonymous
  • anonymous
thank you thank you thank you ^_^
Michele_Laino
  • Michele_Laino
:)
Michele_Laino
  • Michele_Laino
oops.. I meant \(HS=OS-OH=2-1=1\)

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