O is center of the the circle and ∠AOB = 60°. The length of chord AB is : 1. equal to radius of the circle 2. equal to the side of a regular pentagon 3. bigger than the radius of the circle 4. smaller than the radius of the circle.

From figure, ⇒ OA = OB (Radius of same circle) ⇒ ∠OBA = ∠OAB = x (let) [In a triangle angles opposite to equal sides are equal.] In △ AOB, By angle sum property of triangle, ⇒ ∠OBA + ∠OAB + ∠AOB = 180° ⇒ x + x + 60° = 180° ⇒ 2x + 60° = 180° ⇒ 2x = 180° - 60° ⇒ 2x = 120° ⇒ x = = 60° ⇒ ∠OBA = ∠OAB = ∠AOB = 60°. ∴ AOB is an equilateral triangle. ∴ AB = OA = OB ∴ AB = Radius of circle. Hence, Option 1 is the correct option.

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Mathematics

O is center of the the circle and ∠AOB = 60°. The length of chord AB is :
equal to radius of the circle
equal to the side of a regular pentagon
bigger than the radius of the circle
smaller than the radius of the circle.

Constructions

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Mathematics

O is center of the the circle and ∠AOB = 60°. The length of chord AB is :
equal to radius of the circle
equal to the side of a regular pentagon
bigger than the radius of the circle
smaller than the radius of the circle.

Constructions

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Mathematics

O is center of the the circle and ∠AOB = 60°. The length of chord AB is :equal to radius of the circleequal to the side of a regular pentagonbigger than the radius of the circlesmaller than the radius of the circle.

Constructions

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equal to radius of the circle
equal to the side of a regular pentagon
bigger than the radius of the circle
smaller than the radius of the circle.

A regular eight-sided polygon ABCDEF is drawn about a circle with center O, the angle DOE is :
60°
80°
45°
90°

The angle between two radii of a circle is 60°. The angle between their corresponding tangents is :
60°
90°
120°
150°

For a regular hexagon inscribed in a circle, the radius of the circle and the length of a side of the hexagon are :
equal
not equal
equal, if hexagon is regular
not equal, if hexagon is regular.

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°