Mathematics
A regular octagon is circumscribing a circle, the angle subtended by each side of the regular octagon at the center of the circle is :
60°
30°
45°
(2 × 8 - 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.
We know that,
For an 'n' sided regular polygon, the angle subtended at the centre by each side is = 45°.
Hence, Option 3 is the correct option.
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Related Questions
For a regular hexagon, inscribing a circle, the length of the side of the hexagon and the radius of the circle are :
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side of hexagon is smaller than the radius of the circle.
O is center of the the circle and ∠AOB = 60°. The length of chord AB is :
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equal to the side of a regular pentagon
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A regular eight-sided polygon ABCDEF is drawn about a circle with center O, the angle DOE is :
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80°
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not equal, if hexagon is regular.