Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
27th January, 2025

Sir Mike Ambrose is the author of the question.

Let the single side length of the square be 2 unit.


Therefore;


Area square is;



= 4 square units


It implies;


Area R is;


Area sector with radius 2 unit and angle 8.130127545°

- Area triangle with height 1.61624318301 unit and base (1.37930921037sin8.130127545) unit


= (8.130127545*4π÷360) - (½*1.61624318301*1.37930921037sin8.130127545)


= 0.28379498853 - 0.15763573684


= 0.12615925169 square unit


Therefore;


Area Square ÷ Area R to 1 d. p. is


4 ÷ 0.12615925169


= 31.7059585121 


≈ 31.7

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