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The side length of a square is 10 cm. What is the area of the shaded part? (the first volume of mathematics in the sixth grade of primary school)
Solution: Let the radius of the circle be rcm,

A square can be regarded as two identical triangles, so the square area =2r×r÷2×2=2r? ;

Which is 2r? = 10× 10= 100;

r? =50,

Shadow area = circular area-square area

=r? ×3. 14- 10× 10

=50×3. 14- 100

= 157- 100

=57cm?