Question : A piece of wire, when bent to form a circle, will have a radius of 84 cm. If the wire is bent to form a square, the length of one side of the square is:
Option 1: 152 cm
Option 2: 132 cm
Option 3: 168 cm
Option 4: 225 cm
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Correct Answer: 132 cm
Solution : Given: A piece of wire, when bent to form a circle, will have a radius of 84 cm. Length of the wire = circumference of the circle = $2\pi r$ ⇒ $2×\frac{22}{7}×84=528$ So, the perimeter of the square = 528 cm ⇒ One side of the square = $\frac{528}{4}=132$ cm Hence, the correct answer is 132 cm.
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