Why is light intensity 4πD² and not πr²?

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davev
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Slide titled Intensity ACT: multiple-choice question on sound intensity I = P/A, with a speaker radiating power P and two spherical wavefront diagrams showing I1 = P/(4πD1²) and I2 = P/(4πD2²) at distances D1 and D2.


Can someone please explain why the are used is 4∏D2? Shouldn't it just be ∏r2?
 
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The intensity spreads out over the surface of a sphere. Your formula is for the area of a circle.
 
sandy.bridge said:
The intensity spreads out over the surface of a sphere. Your formula is for the area of a circle.

That makes much more sense! Can't believe I totally missed that. Thank you!