Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
15th June, 2024

Calculating Area Red.


It is;


Area sector with radius 5 m and angle 60° - Area triangle with height 5 units and base 5sin60 m + 2(area triangle with height 2.5 m and base 2.5 m)


= (60π*5*5/360)-(0.5*5*5sin60)+2(0.5*2.5*2.5sin60)

= ⅙(25π)-¼(25√(3))+⅛(25√(3))

= (100π-150√(3)+75√(3))/24

= (100π-75√(3))/24 m²

= 7.6773106163 m²

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