4 of six on 1

A circle of unit radius is completely covered by four identical regular hexagons. What is the side length of each hexagon? Consider both kind of covering style, overlapping and non overlapping.

#Geometry

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
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Comments

I got the answer as $\frac{2\sqrt{3}}{3}.$

Ayush G Rai - 4 years, 5 months ago

Answer is for overlapping or not?

Saya Suka - 2 years, 11 months ago

You want the minimum side length, right?

Ricardo Moritz Cavalcanti - 5 months, 3 weeks ago

I found $\frac{1}{\sqrt{3}}$ in the overlapping case, and $\frac{2}{\sqrt{7}}$ in the non overlapping case.

Ricardo Moritz Cavalcanti - 5 months, 3 weeks ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$