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A nine-side regular polygon with side le...

A nine-side regular polygon with side length 2, is inscribed in a circle. The radius of the circle is

Text Solution

Verified by Experts

Let AB = 2 units be one of the sides of the polygon.

Then `angleAOB=360^@//9=40^@`, where O is the centre of circle.
If `OL_|_AB," then " AL=1" and " angleAOL=20^@`
`:. " Radius of the circle "=OA=ALcosec20^@=cosec20^@`
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