Let the radius of the ascribed quarter circle be 2x.
Therefore the radius of the inscribed yellow half circle is x.
Calculating x.
¼(π(2x)²)-½(πx²) = 17
πx²-½(πx²) = 17
2πx²-πx² = 34
πx² = 34
x² = 34/π
x = √(34/π) cm.
Therefore, shaded yellow area is;
½(πx²)
And x = √(34/π) cm.
= ½(π√(34/π)²)
= 17 cm²
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