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Mathematics

A regular eight-sided polygon ABCDEF is drawn about a circle with center O, the angle DOE is :

  1. 60°

  2. 80°

  3. 45°

  4. 90°

Constructions

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Answer

Since, the circle is inscribed in a regular octagon.

∴ Center of both the octagon and circle are concurrent.

A regular eight-sided polygon ABCDEF is drawn about a circle with center O, the angle DOE is : Constructions, Concise Mathematics Solutions ICSE Class 10.

We know that,

For an 'n' sided regular polygon, the angle subtended at the centre by each side is 360°n=360°8\dfrac{360°}{n} = \dfrac{360°}{8} = 45°.

Hence, Option 3 is the correct option.

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