Circle and hexagon

Calculate the radius of a circle whose circumference is 8.4 cm longer than the inscribed regular hexagon's circumference.

Correct answer:

r =  29.66 cm

Step-by-step explanation:

2·pi·r = 8.4 + 6r

2·π·r = 8.4 + 6·r

0.283185r = 8.4

r = 8.4/0.28318531 = 29.66255588

r = 29.662556

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