Question

in the figure, a square is inscribed in a circle. The side of a square is 10cm. Find the area of the shaded region.

Answer 1

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Answer 2

we can clearly see that
area of shaded part= area of circle -area of square

now area of square= 10×10 cm^2 = 100cm^2

now radius of circle=
$\frac{digonal \: ofsquare}{2} = \frac{ \sqrt{ {10 }^{2} + 10 {}^{2} } }{2} = 5 \sqrt{2}$
so area of circle = 50π cm^2
so area of shaded part = 50π - 100 cm^2
57.143cm^2