Math, asked by rishabh6023, 1 year ago

The circumference of a circle is 100cm.The measure of a side of the square inscribed in the circle is ?

Answers

Answered by amanprabhu01
10
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Answered by mysticd
6

Answer:

 Side\: of \: the \: square \\= \frac{100}{\sqrt{2} \pi}

Step-by-step explanation:

Let d is a diameter of a circle .

Circumference (C) = 100cm

=> πd = 100 cm

 d = \frac{100}{d} \:--(1)

According to the problem given,

Square inscribed in a circle.

Let a is the side of a square .

/* we know that ,

Diagonal of a square = Diameter of a circle

 \sqrt{2}a = \frac{100}{\pi}

 \implies a = \frac{100}{\sqrt{2} \pi}

Therefore,

 Side\: of \: the \: square \\= \frac{100}{\sqrt{2} \pi}

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