Question

The side of a square inscribed in a circle of circumference 220 cm is

Answer 1

Circumference of circle= 2πr

or, 2πr=220cm

$r = \frac{220}{2\pi}$

$r = \frac{220}{2 \times \frac{22}{7} }$

$r = \frac{220}{ \frac{44}{7} }$

$r = \frac{220}{44} \times 7$

$r = 5 \times 7 = 35$

So, diagonal of square= 2×35=70cm

Also, Diagonal of square=√2a

Therefore, 70=√2a

or, a=70/√2