Question

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

Options

• `50sqrt2`

• `50/π`

• `(50sqrt(2))/π`

• `(100sqrt(2))/π`

Answer 1

2πr = 100

r = `100/(2π)`

= `50/π`

diagram = `100/π`

`(100/π)^2` = 2 side²

`1000/(π^(2).2)` = side²

side = `sqrt(1000/(π^(2).2))`

`100/π sqrt(1/2)`

= `100/(πsqrt2)`

`(50sqrt2)/π`