Question

a square Abcd of side 6cm has been inscribed in a quadrant of a circle of radius 14 cm. find the area of the shaded region​

Answer 1

$Given , \: Side \: of \: a \: square (a) = 6\:cm$

$Radius \: of \:the \:circle (r) = 14 \:cm$

/* According to the problem given , a square ABCD of side 6cm has been inscribed in a quadrant of a circle */

$Area \:of \: shaded \: region \\= Area \: of \: Quadrant - Area \:of \:the \: square\\= \frac{1}{4} \pi r^{2} - a^{2} \\= \frac{1}{4} \times \frac{22}{7}\times 14^{2} - 6^{2}\\= \frac{22\times 14 \times 14}{4\times 7} - 36 \\= 154 - 36 \\= 118 \:cm^{2}$

Therefore.,

$\red {Area \:of \: shaded \: region}\green{= 118 \:cm^{2}}$

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