Mathematics
In the given figure, O is the center of the circle and chord AB : chord CD = 5 : 3. If angle DOC = 60°; then ∠AOB is :

120°
75°
100°
80°
Circles
8 Likes
Answer
Ratio of the angles subtended by the chords on the center is equal to the ratio of the chords.
Hence, Option 3 is the correct option.
Answered By
8 Likes
Related Questions
In a circle, O is its center and AB, CD are its two chords. If AB : CD = 3 : 2, then ratio between ∠AOB and ∠COD is :
1 : 1
3 : 2
2 : 5
3 : 5
In the given figure, O is the center of the circle and ABC is an equilateral triangle, then ∠AOB is equal to :

105°
90°
60°
120°
In the given figure, a square is inscribed in a circle with center O. Find :

(i) ∠BOC
(ii) ∠OCB
(iii) ∠COD
(iv) ∠BOD
Is BD a diameter of the circle?
In the given figure, AB is a side of a regular pentagon and BC is a side of a regular hexagon.

(i) ∠AOB
(ii) ∠BOC
(iii) ∠AOC
(iv) ∠OBA
(v) ∠OBC
(vi) ∠ABC