Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
9th May, 2025

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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