# In the figure, ∠AOB = ∠COD; AB = 3 cm then CD = …………………..

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In the figure, ∠AOB = ∠COD; AB = 3 cm then CD = …………………..

A) 1.5 cm

B) 6 cm

C) 3.5 cm

D) 3 cm

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Correct option is (D) 3 cm

$\angle AOB$ = Angle subtend by chord AB at the centre of the circle

$\angle COD$ = Angle subtend by chord CD at the centre of the circle

Since, if two chord subtend equal angles at the centre of the circle then they are equal in length.

$\because$ $\angle AOB$ = $\angle COD$

$\therefore$ AB = CD

$\Rightarrow$ CD = AB = 3 cm  $(\because$ AB = 3 cm (given))

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Correct option is  D) 3 cm