Calculating yellow area.
Notice.
12 square units is the area of the red quarter circle.
¼*πa² = 12
πa² = 48
a = √(48/π)
a = 3.90882009522 units.
a is the radius of the red quarter circle.
b² = 2a²
b = √(2*3.90882009522²)
b = 5.52790639154 units.
b is the radius of the yellow quarter circle.
Therefore, area yellow quarter circle is;
¼*πb²
= 0.25*π*5.52790639154²
= 24 square units.
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