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A regular hexagon is inscribed into a circle. Find the length of the side of the hexagon, if the radius of the circle is 12 cm.

A. 20 cm
B. 18 cm
C. 16 cm
D. 12 cm
E. None of these

User Faegy
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1 Answer

6 votes

Answer:

12 cm

Explanation:

If a regular hexagon is inscribed into a circle, the length of the side of a hexagon is the same as the radius.

You know this because a hexagon is made up of six equilateral triangles (all three sides are the same length). If inscribed in a circle, the common vertex (point of intersection for all triangles) is the center of the circle.

Attached is an image I found online that helps visualize what I am saying.

A regular hexagon is inscribed into a circle. Find the length of the side of the hexagon-example-1
User Ctc
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