Question

Find the answer pls.This is my practice I need it fast

Answer 1

Answer:

hey here is your solution

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Step-by-step explanation:

$to \: find = \\ area \: of \: shaded \: region \\ \\ \: so \: basically \: as \: in \: the \: circumscribed \\ quadrilateral \: all \: angles \: are \: 90 \: each \\ and \: adjacent \: sides \: are \: equal \\ \\ i t\: is \: a \: square \\ so \: thu s\: its \: all \: sides \: are \: equal \\ \\ so \: hence \: \\ area \: of \: squar e= side {}^{2} \\ = (14) {}^{2} \\ = 196.cm {}^{2}$

$similarly \: as \: it \: is \: a \: square \\area \: of \: those \: two \: inscribed \: \\ semicircles \: would \: be \: equal \\ \\ so \: their \: radii = \frac{1}{2} \times side \: of \: square \\ \\ = \frac{1}{2} \times 14 \\ \\ = 7.cm \\ \\ hence \: then \\ \\ area \: of \: two \: semicircles = \\ \frac{2.\pi.r {}^{2} }{2} \\ \\ = \pi.r {}^{2} \\ \\ = \frac{22}{7} \times 7 \times 7 \\ \\ = 22 \times 7 \\ \\ = 154.cm {}^{2}$

$hence \: \\ area \: of \: shaded \: region = \\ area \: of \: square - area \: of \: two \: semicircles \\ \\ = 196 - 154 \\ \\ = 42.cm {}^{2}$