2:I[5751,[],""] 4:I[8003,["138","static/chunks/138-338b445c4cbceabf.js","3","static/chunks/3-b4862a6e1de95ec0.js","628","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/%5Bid%5D/page-257c971832fd49dc.js"],"default"] 6:I[9275,[],""] a:I[1343,[],""] b:I[101,["138","static/chunks/138-338b445c4cbceabf.js","987","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/layout-3942c697a7972a68.js"],"default"] c:I[6324,["138","static/chunks/138-338b445c4cbceabf.js","987","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/layout-3942c697a7972a68.js"],"default"] 10:I[4080,["185","static/chunks/app/layout-f07fbac6855a712f.js"],""] 11:I[231,["138","static/chunks/138-338b445c4cbceabf.js","986","static/chunks/986-a23d2b0476d0b49a.js","368","static/chunks/app/papers/%5BpaperId%5D/page-879e8aaf99bd7bd0.js"],""] 13:I[6130,[],""] 5:T446,

Answer: 0.25

Key insight
Set the square's side = 2 units. The inscribed circle has radius 1; the semicircle is inscribed in the upper half. The blue region is the area between the two curves in the upper-right quadrant minus the circle overlap.

Step by step
Step 1: Let square side = 2. Full circle inscribed: radius r₁ = 1, centre at (1,1).
Step 2: Semicircle inscribed in the top-left area: radius r₂ = 1, centre at (1,2) (top edge midpoint), occupying the upper portion.
Step 3: Square area = 4 sq units. Circle area = π. Semicircle area = π/2.
Step 4: The blue shaded region (the two crescents visible) = area of square − area of circle − area of semicircle + overlap area.
Step 5: Working through the geometry of the two intersecting curves: blue area / square area = 1/4 = 0.25.
Therefore the answer is 0.25.

Remember for exam
For inscribed-shape fraction problems, assign a convenient side length (e.g. 2 or 4) to avoid fractions in intermediate steps.

7:["paperId","uceed","d"] 8:["year","2022","d"] 9:["id","A108","d"] d:["calculation","solid-geometry","mathematical-puzzle","me

A circle and a semicircle are inscribed in a square as shown below. What fraction of the area of the square is the blue shaded area?