Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
4th June, 2024

Radius of the inscribed quarter circle is 36 cm.


Radius of the inscribed semi circle is;

½(½(36))=9 cm.


Radius of the small inscribed circle is;

⅓(⅓(36))=4 cm.


Therefore the side lengths of triangle blue will be;


(36+9)=45 cm.


(36+4)=40 cm.


(9+4)=13 cm.


Therefore area triangle blue is;

0.5x45x40sin(cos–¹((45²+40²-13²)÷(2x45x40)))

= 252 cm²

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