1.

A square of side 22 cm is made from a single wire. The same wire is then bent to form a circle. The area of the circle formed is (π = 22/7)1). 416 cm22). 343 cm23). 528 cm24). 616 cm2

Answer»

Perimeter of a square = 4 × side

Given, side of the square = 22 cm

∴ Perimeter of the square = 88 cm

Now, the same wire is USED to FORM a circle.

∴ The circumference of the circle formed = perimeter of the square

Circumference of a circle = 2πr

⇒ 2πr = 88

⇒ r = 44/π = 14 cm

Area of a circle = πr2

⇒ Area of the circle formed $(= \frac{{22}}{7} \times {14^2} = 616\;c{m^2})$


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