The side of a regular pentagon is a. Find the radii of the inscribed and circumscribed circles.

Formulas connecting the side of a regular polygon with the radii of the inscribed and circumscribed circles:

a (n) = 2r * tg 180 ° /).

a (n) = 2R * sin (180 ° / n).

where a (n) is the side of a regular polygon, n is the number of its sides.

r = a (n) / 2 tan * (180 ° / n).

R = a (n) / 2 Sin * (180 ° / n).

n = 5.

r = a / (2tg36 °).

R = a / (2sin36 °).



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