Mathematics Question and Solution
Total green sector angle is;
atan(3)+atan(⅓)
= 90°
It implies;
210 = ¼(πr²)
Where π is (22/7).
Calculating r, radius of the green sectors.
210*7*2 = 11r²
r = √(2940/11) units.
Where r is also the diameter of the inscribed yellow half circle.
Radius x, of the inscribed yellow half circle is;
x = ½√(2940/11)
It implies;
Area yellow Inscribed half circle is;
½*π(½√(2940/11))²
= ⅛*(22/7)*(2940/11)
= ¼*(2940/7)
= ¼(420)
= 105 square units.
