Question : A wire is in the form of a square with a side of 11 cm. It is bent to form a circle. What is the radius of the circle?
Option 1: 11 cm
Option 2: 5 cm
Option 3: 9 cm
Option 4: 7 cm
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Correct Answer: 7 cm
Solution :
Side of square = 11 cm
Perimeter of square = 4 × side
Perimeter of square = 4 × 11 = 44 cm
Circumference of circle = 2π$r$ where $r$ is the radius of the circle.
The perimeter of the square = Circumference of the circle
⇒ $44= 2πr$
⇒ $44 = 2 \times{\frac{22}{7}} \times {\text{r}}$
⇒ $r = 7$ cm
Hence, the correct answer is 7 cm.
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