Question

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is ______.

Options

• `50sqrt2"cm"`

• `100/pi"cm"`

• `50sqrt2/pi"cm"`

• `100sqrt2/pi"cm"`

Answer 1

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is `underline(50sqrt2/pi"cm")`.

Explanation:-

2πr = 100. So Diameter = 2r = `100/pi` = diagonal of the square.

Side `sqrt2` = diagonal of square = `100/pi`

∴ Side = `100/(2pi)=50sqrt2/pi`