Question

find the shaded region in square of 14 cm
answer: 10.5cm2​

Answer 1

Step-by-step explanation:

$\blue{ \bf{ \underline{ QUESTION : - }}}$

find the shaded region in square of 14 cm

answer: 10.5cm2

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$\boxed{ \huge{ \bold{Given}}}$

• Square = 14 cm

$\boxed{ \huge{ \bold{to \: find}}}$

• Area of Shaded Region

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

• We know, Square length is 14 cm So, Diameter of the Circle heft in Square length

$\sf{ \: \: \: \: \: \: Diameter \: of \: the \: Circle = \cancel \frac{14}{2} = 7 \: cm}$

$\sf{ \: \: \: \: \: \: radius \: of \: the \: Circle = \cancel \frac{7}{2} = 3.5 \: cm}$

✪ Ｎｏｗ

$\boxed{ \boxed{ \sf{ \red{Area \: of \: the \: Square = (Side)²}}}}$

$\implies{ \sf{ Area \: of \: Square =14}^{2} }$

$\implies{ \sf{ Area \: of \: Square =196 \: {cm}^{2} }}$

Then ➠

$\sf{ Area \: of \: the \: quadrant = {\pi {r}^{2} }{}$

$\sf{ Area \: of \: the \: quadrant = {3.14 \times {3.5}^{2} }{}}$

$\sf{ Area \: of \: the \: quadrant = 38.46\: {cm}^{2} }$

NoW ➤

$\sf{Total \: Area \: of \: the \: quadrant = 4 \times 38.46} \\ \\ \sf{Total \: Area \: of \: the \: quadrant = 153.86 \: {cm}^{2} }$

We ,

Also Write 153.86 = 154 cm²

✦[ If (1.8/1.9 is {8,9> 5 } We write2.0 ]

*But if (1.4 / 1.2 than {4,2<5 } So We can't write 2.0 ]

❑ Area of the Shaded Region

$\boxed{ \boxed{ \sf{ \red{Area \: \: of \: Square \: - \: Total \: Area \: of \: the \: Quadrant \: }}}}$

$\rightarrow{196 - 154 } \\ \\ \\ \rightarrow{42 \: {cm}^{2} }$

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