Question

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

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

Answer 1

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

O is the center of the circle , where diagonal AC and BD bisect each other. Hence, AC is a diameter. But AC $=$ diagonal of the square $a\sqrt{2}cm$ , where a is the side of the square . Hence a $=$ d.
Circumference $=\pi d=\pi \times a\sqrt{2}=220cmor\frac{22}{7}\times a\times \sqrt{2}=220ora=\frac{220\times 7}{22\times \sqrt{2}}=35\sqrt{2}cm$