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For a regular polygon, let r and R be th...

For a regular polygon, let r and R be the radii of the inscribed and the cirumscribed circles, respectively. A false statement among the following is

A

There is a regular polygon with `r/R=2/3`

B

There is a regular polygon with `r/R=(sqrt3)/2`

C

There is a regular polygon with `r/R=1/2`

D

There is a regular polygon with `r/R=1/(sqrt2)`

Text Solution

Verified by Experts

In `DeltaOL_(1)A_(1)`, we have
`cos(pi)/n=r/R`
Clearly, `cos(pi)/nne2/3` for any `ninN`
So, option (a) is false.
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