Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
19th August, 2023

a² = 5-4cos120

a = √(7) units.


(√(7)/sin120) = (2/sinb)

b = 40.89339464913°


c = 180-2*40.89339464913

c = 98.21321070174° 


Calculating r.


0.5*r(r-1)sin98.21321070174 +(3/2) = (98.21321070174π*r²)/360


0.49487165931r²-0.49487165931r+(3/2) = 0.85707194785r² 

0.36220028854 r²+0.49487165931r-(3/2) = 0

0.36220028854 r²+0.49487165931r-1.5 = 0


Solving the quadratic equation to get r.


r = 1.46349 units.

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