Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
27th February, 2024

Let R = 1 unit.


sin22.5 = r/(1-r)

r = sin22.5-rsin22.5

r+rsin22.5 = sin22.5

r(1+sin22.5) = sin22.5

r = sin22.5/(1+sin22.5) units.

r = 0.2767686539 units.


It implies;


R/r

= 1/(sin22.5/(1+sin22.5))

= (1+sin22.5)/sin22.5

= 3.6131259298 units

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