The side of a regular pentagon is a. Find the radii of the inscribed and circumscribed circles.
August 5, 2021 | education
| 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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