Mathematics

For a regular hexagon inscribed in a circle, the radius of the circle and the length of a side of the hexagon are :

  1. equal

  2. not equal

  3. equal, if hexagon is regular

  4. not equal, if hexagon is regular.

Constructions

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Answer

We know that,

A regular hexagon comprises 6 equilateral triangles.

For a regular hexagon inscribed in a circle, the radius of the circle and the length of a side of the hexagon are : Constructions, Concise Mathematics Solutions ICSE Class 10.

∴ BAC is an equilateral triangle.

∴ AB = BC = CA.

From figure,

AB and AC are radius of the circle.

⇒ AB = BC.

⇒ Radius = Side of hexagon

Hence, Option 1 is the correct option.

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