Question by Lê Quốc Trần Anh - Discuss with MathYouLike

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24/06/2018 at 04:07

Suppose a regular hexagon has a perimeter equal to the circumference of a circle. What is the ratio of a side of the hexagon to the radius of the circle? Express your answer as a common fraction in terms of π

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Nguyễn Mạnh Hùng 24/06/2018 at 08:36

Call the hexagon's side is x

the circle's radius is y

=> The hexagon's perimeter is 6x

The circle's perimeter is 6,28y

If 6x = 6,28y

=> \(\dfrac{x}{y}=\dfrac{6,28}{6}=\dfrac{3,14}{3}=\dfrac{\Pi}{3}\)
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trương trí tuệ 15/04/2019 at 08:32

Call the hexagon's side is x

the circle's radius is y

=> The hexagon's perimeter is 6x

The circle's perimeter is 6,28y

If 6x = 6,28y

=> $\frac{x}{y} = \frac{6, 28}{6} = \frac{3, 14}{3} = \frac{Π}{3}$
trương trí tuệ 15/04/2019 at 08:31

Call the hexagon's side is x

the circle's radius is y

=> The hexagon's perimeter is 6x

The circle's perimeter is 6,28y

If 6x = 6,28y

=> $\frac{x}{y} = \frac{6, 28}{6} = \frac{3, 14}{3} = \frac{Π}{3}$

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