# Circle and hexagon

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

Correct result:

r =  29.66 cm

#### Solution:

2•pi•r = 8.4 + 6r

2•π•r = 8.4 + 6•r

0.283185r = 8.4

r = 29.662556

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