Question

Calculate the area of the shaded region in the given figure, which is common between
the two quadrants of circles of radius 8 cm each. Please answer this question with detailed explanation. I am not at all able to understand the question neither its solution.

Answer 1

$\huge\star{\red{\underline{\mathfrak{Answer :-}}}}$

$\dfrac{256}{7} \: {cm}^{2}$

$\huge\star{\red{\underline{\mathfrak{Explanation :-}}}}$

The shaded area = (2× area of a quadrant) - area of the square.

$= (2 \times \dfrac{\pi {r}^{2} }{4} ) - {s}^{2}$

$= (2 \times \dfrac{22}{7} \times \dfrac{1}{4} \times 8 \times 8) - {8}^{2}$

$= \dfrac{704}{7} - \: 64$

$= \dfrac{704 - 448}{7}$

$= \dfrac{256}{7} {cm}^{2}$

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