Let the radius of the bigger circle be 2 unit.
Therefore the radius of the smaller circle will be;
½(2)=1 unit.
Let the radius of the semi circle be r.
It implies;
2² + r² = (1 + r)²
4 + r² = 1 +2r + r²
4-1=2r
2r=3
Therefore r (semi circle's radius) is;
r=1.5 unit.
Therefore;
Area yellow circle : Area red semi circle is;
(1)²π : ½(1.5)²π
= 1 : ½(9/4)
= 1 : (9/8)
= 8 : 9
= 8/9
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