The square as shown has an area of 4 . Quarter-circles, centered at two opposite vertices of the square, overlap in the shaded region as shown. What is the area of the shaded region?

A.
2
B.
\(\pi\)
C.
\(\pi-1\)
D.
none of above
Mathematics
Competition
Math League
Exam No:2020-2021 Math League First Round Grades 8-9 Year:2021 Question No:18

Answer:

D

Knowledge points:

G8-9 - Geometry - Area Reasoning (Composite & Shaded Figures)

Solution:

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