Pi Day 2021 Answer Key — From NASA/JPL…

Here you go! Below this is the simplest approach to an answer, as a graphic for this poser, from our multi-topic Selection Sunday/Pi Day post — of yesterday — but one could also derive the actual values for each using this formula: where L is the path loss in decibels, λ (or lambda) is the wavelength and d is the transmitter-receiver distance in the same units as the wavelength. Note the power density in space has no dependency on λ; The variable λ exists in the formula to account for the effective capture area of the isotropic receiving antenna.

And the area of each disk of the antenna may be had using π times r².

And, the problem itself:

Be excellent to one another — don’t let the signals, between one another, fade out….

नमस्ते