Question 52

What is the circumference of the largest circle which can be inscribed in a square of side 14 cm?(Take $$\pi = \frac{22}{7}$$)

As per the given question, the circle is inscribed in a square. Then the side of the square is equal to the diameter of the circle. It is also visible in the above diagram.

diameter of the circle = $$2\times\ radius\ of\ circle$$

$$14 = 2\times\ radius\ of\ circle$$

radius of the circle = 7 cm

Circumference of the given largest circle = $$2\times\ \pi\ \times\ radius\ of\ circle$$

= $$2\times\ \frac{22}{7}\times7$$

= $$2\times\ 22$$

= 44 cm

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