A wire is looped in the form of a circle of diameter 70 cm. It is bent again into a square form. What will be the approximate length of the diagonal of the largest possible square? (Assume \(\pi=22/7\))
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(55\sqrt{2}\) cm
Bending the wire does not change its length, so the perimeter of the square equals the circumference of the circle. The diagonal of a square of side \(a\) is \(a\sqrt{2}\).
Length of the wire \(\displaystyle =\pi d=\frac{22}{7}\times70=220\) cm
Side of the square \(=220\div4=55\) cm
Diagonal \(=55\sqrt{2}\) cm