Question 52

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

Solution

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

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

$$14 =Ā 2\times\ radius\ of\ circle$$

radiusĀ of the circle = 7 cm

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

=Ā $$2\times\ \frac{22}{7}\times7$$

=Ā $$2\times\ 22$$

= 44 cm


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