Question

The circumference of a circle is100cm.The side of a square inscribed in the circle

Answer 1

Answer:

let O be the center of circle

AC be the diagonal of square=side of square×√2..........(1)

S be side of square

given circumference of circle =2 π r=100 cm

r=100/2×π

taking π=22/7

r= 15.90cm

now

diagonal (AC)= AO +OC =15.90+15.90=31.80cm

now from (1)

side of square =diagonal/√2

=31.80/√2=27.89cm

taking √2= 1.1414

Answer 2

50√2/π cm

Since a square is inscribed inside a circle, the diagonal of the square will be a diameter of the circle.

Therefore,

√2×a=2r

But, C=2πr

$⇒ \sqrt{2} \times a=2× \frac{c}{2\pi}$

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

$∴a= \frac{50 \sqrt{2} }{\pi}$