Question

Find the area of the biggest circle that can be drawn within a square of perimeter
28 cm​

Answer 1

$\: \: \: \: \: \: \: \: \bullet\bf\: \: \: {Required\: figure}$

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➲ As given in the question that the length of each side of the square is 28cm. Then diameter of the circle will be 28cm.

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$\tt\longrightarrow{Radius = \dfrac{Diameter}{2}}$

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$\tt\longrightarrow{Radius = \dfrac{28}{2} = 14cm}$

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Now, we need to find the area of the circle.

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$\: \: \: \: \: \: \: \: \star\bf\: \: \: {Area_{(Circle)} = \pi r^2}$

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Putting the values

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$\tt:\implies\: \: \: \: \: \: \: \: {Area = \dfrac{22}{7} \times (14)^2}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Area = \dfrac{22}{\cancel{7}} \times \cancel{14} \times 14}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Area = 22 \times 2 \times 14}$

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$\frak:\implies\: \: \: \: \: \: \: \: {\underline{\boxed{\pink{Area = 616\: cm^2}}}}$

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Hence,

• Area of the circle is 616cm²

Answer 2

Answer:

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36 +a

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