Question
The circumference of a circle is 100 cm. The side of a square inscribed in the circle is :
Answer: Option C
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`2 pi R = 100`
`hArr R = (100)/(2 pi) = 50/pi`
`R = 1/2 xx diagonal `
`hArr diagonal = 2R = (2 xx 50)/(pi) = 100/ pi`
`:.` Area of the square = `1/2 xx (diagonal )^2 = 1/2xx (100/pi)^2`
`hArr a^2 = 1/2 xx (100/pi)^2`
`hArr a = 1/sqrt(2) xx 100/pi = (50sqrt(2))/(pi) ` cm.
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