Question

Please answer this question​

Answer 1

Step By Step Explanation

Answer 2

Given : A circle in which half of it's area is shaded.

To Find : Area of the shaded part.

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Here

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• Radius of the circle = 7m

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As we know that :

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$\underline{\boxed{\tt\purple{\bigstar \: area \: of \: a \: circle \: =\bold{\pi} {r}^{2} }}}$

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Where

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• "r" denotes the radius of the circle.

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Put the value in the formula

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$\tt:\implies \: area \: of \: the \: circle \: =\bold{\pi}r {}^{2} \\ \\ \\ \tt:\implies \: area \: of \: the \: circle \: = \frac{22}{\cancel{7} } \times \cancel{7} \times 7 \\ \\ \\ \tt:\implies \: area \: of \: the \: circle \: = 22 \times 7 \\ \\ \\ \tt:\implies \: area \: of \: the \: circle \: = \underline{\boxed{\tt\purple{154 {cm}^{2} }}}\bigstar$

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As we can see here, that shaded part is in the form of a semicircle.

Now we'll find the area of the shaded part.

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$\tt:\implies \ \: area \: of \: the \: shaded \: part \: = \dfrac{\bold{\pi}r^{2} }{2} \\ \\ \\ \tt:\implies \: area \: of \: the \: shaded \: part \: = \cancel\frac{154}{2} \\ \\ \\ \tt:\implies \: area \: of \: the \: shaded \: part \: = \underline{\boxed{\tt\purple{77 {cm}^{2} }}}\bigstar \\ \\ \\ \tt\therefore{\underline{Hence, \: the \: area \: of \: the \: shaded \: region \: is \: \bold{77 {cm}^{2}} }}$