A regular hexagon with a side of 6 cm is inscribed in a circle. Find the radius of the circle.Options123 cm6 cm63 cm33 cm
Question
A regular hexagon with a side of 6 cm is inscribed in a circle. Find the radius of the circle.Options123 cm6 cm63 cm33 cm
Solution
The radius of the circle in which a regular hexagon is inscribed is equal to the side length of the hexagon. This is because in a regular hexagon, all sides are equal and each interior angle is 120 degrees. When a circle is inscribed in it, the radius of the circle is the line segment connecting the center of the circle to any of the hexagon's vertices. This line segment is also the side of the hexagon. Therefore, if the side of the hexagon is 6 cm, the radius of the circle is also 6 cm. So, the correct option is 6 cm.
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