Question

A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is ______.

पर्याय

• 22 cm

• 14 cm

• 11 cm

• 7 cm

Answer 1

A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is 14 cm.

Explanation:

Given, side of a square = 22 cm

Perimeter of square and circumference of circle are equal, because the wire has same length.

According to the question,

Perimeter of square = Circumference of circle

⇒ 4 × (Side) = 2 × π × r

⇒ 4 × 22 = `2 xx 22/7 xx r`  ...`[∵ π = 22/7]`

⇒ r = `(4 xx 22 xx 7)/(2 xx 22)`

⇒ r = 14 cm

Hence, the radius is 14 cm.