Inscribed in a Circle

The area of a square inscribed in a circle with a unit radius is, satisfyingly, 2. What is the area of a regular hexagon inscribed in a circle with a unit radius?
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Problem

Inscribed in a Circle printable sheet

 

The area of a square inscribed in a circle with a unit radius is, satisfyingly, $2$.

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Inscribed in a Circle

What is the area of a regular hexagon inscribed in a circle with a unit radius?

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Inscribed in a Circle

What is the area of an equilateral triangle inscribed in a circle with a unit radius?

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Inscribed in a Circle