Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
26th January, 2024

Let r be the radius of the inscribed green semi circle.


Notice.

The ascribed triangle is equilateral.


Therefore;

sin60 = r/(0.5*7)

r = 0.5*7sin60

r = 3.0310889132 units.

Again, r is the radius of the inscribed green semi circle.


It implies, area green inscribed semi circle is;


½(πr²)

= 0.5*3.0310889132²π

= 14.4316912524 square units.

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