Question

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

• A. 45 cm
• B. 48 cm
• C. $35\sqrt{2}cm$
• D. $40\sqrt{2}$

Answer 1

The correct option is C $35\sqrt{2}cm$

Given the circumference of circle is 220 cm

Then radius of circle =$\frac{220}{2\pi }=\frac{220\times 7}{2\times 22}=35cm$

The square inscribed in circle the diagonal of circle $2\times 35=70$ cm

Then $(side{)}^2=2(radius{)}^2\Rightarrow =(side{)}^2=2(35{)}^2\Rightarrow side=35\sqrt{2}$ cm

So side of square =$35\sqrt{2}$ cm