Question

A circular wire enclosing the area of 9,856 cm² is bent to form a square. How much area will be enclosed by that wire?​

Answer 1

Step-by-step explanation:

$\pi {r}^{2} = \: 9856 \\ {r}^{2} \: = 9856 \div \pi \\ {r}^{2} = 3136 \\ r \: = 56cm$

since the circumference of circle will be equal to perimeter of square

• 2πr = 4 x [ let side of square be x]
• (2 π 56)/4= x
• x = 28π

now area of square enclosed by wire = x² = (28π)²

= 784 π² cm²

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