Question

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is : (a) 50 √ 2 cm (b) 100/p cm (c) 50 √2/ p cm (d) 100√2/p cm

Answer 1

(b) 100/p cm is the side of square

Answer 2

Answer:

Option c - The side of square is $a= \frac{50\sqrt2}{\pi}$        

Step-by-step explanation:

Given : The circumference of a circle is 100 cm.

To find : The side of a square inscribed in the circle is?

Solution :

Let the side of a square inscribed in the circle be ‘a’.

Circumference of a circle ,C = 100 cm

Circumference of a circle is given by

$c=\pi d$

$100=\pi d$

$d=\frac{100}{\pi}$

We know,

Diagonal of a square = Diameter of a circle

i.e. $\sqrt{2}a= \frac{100}{\pi}$

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

$a= \frac{100\sqrt2}{2\pi}$

$a= \frac{50\sqrt2}{\pi}$

Therefore, The side of square is $a= \frac{50\sqrt2}{\pi}$

So, Option c is correct.