For a regular hexagon, let r and R be the radii of the inscribed and circumscribed circles A false - Maths - Solution of Triangles

Question

For a regular hexagon, let r and R be the radii of the inscribed
and circumscribed circles A false statement among following is:
a) There is a regular polygon with r/R=1/2,
b) There is regular polygon with r/R=1/rt2,
c) There is regular polygon with r/R=2/3,
d) There is regular polygon with r/R=rt3/2

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

We know that, for a regular polygon, we haveCircumradius=R=a2sinπnInradius=r=acosπnrR=acosπna2sinπn=2 sinπncosπn=2tanπn

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