How do you find the area of this?  I had to do an experiment where you take a styrofoam cup and poke a flashlight through the bottom of it, then shine the light onto a wall from different distances and measure the diameter. I have to calculate the area. It it just pi*r^2? That's what I did, but then I've seen someone else use 4*pi*r^2 and that confused me. I want to make sure I done it right.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 62P: (a) Estimate the density of the Moon. (b) Estimate the diameter of the Moon. (c) Given that the Moon...
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How do you find the area of this? 
I had to do an experiment where you take a styrofoam cup and poke a flashlight through the bottom of it, then shine the light onto a wall from different distances and measure the diameter. I have to calculate the area. It it just pi*r^2? That's what I did, but then I've seen someone else use 4*pi*r^2 and that confused me. I want to make sure I done it right. 

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So in this instance am I doing it correctly or do I need to use the other formula instead? 

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