Question

If the perimeter of a square is equal to the radius of a circle whose area is 39424

Answer 1

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$\Huge{\blue{\underline{\textsf{Answer}}}}$

• Radius of circle, = $\displaystyle \sqrt{\frac{39424 × 7}{22}}$ = 112 cm.

• Perimeter of square = 112 cm.

$\mapsto$Side of square = $\frac{112}{4}$ = 28cm.

$\mapsto$Area of square = 28 × 28

$\mapsto$784cm²

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Answer 2

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$\huge\tt{GIVEN:}$

• The perimeter of the square is equal to the radius of a circle.
• The area of circle is 39424cm²

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$\huge\tt{TO~FIND:}$

• The area of the square

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$\huge\tt{SOLUTION:}$

First of all,

↪The radius of the circle = √ (39424×7 / 22)

↪The radius of the circle = √(275968/22)

↪The radius of the circle = √(12544)

↪The radius of the circle = 112 centimetres

Now,

Perimeter of that square = 112 centimetres

↪Side of the square = 112 ÷ 4

↪Side of the square = 28 centimetres

Now,

Finding the area of the square,

↪AREA OF A SQUARE = A²

↪Area of the square = (28)²

↪Area of the square = 784 cm²

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