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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`
Solution
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`
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