In a circle centered at O O O , a diameter A B AB A B is extended to a point C C C outside the circle. C D CD C D is a tangent at point D D D on the c...

Question

In a circle centered at OO, a diameter ABAB is extended to a point CC outside the circle. CDCD is a tangent at point DD on the circle. If CD=73 cmCD = 7\sqrt{3} \text{ cm} and DBC=120\angle DBC = 120^\circ, then the length of the diameter of the circle is equal to:

Options

A.

16 cm

B.

20 cm

C.

18 cm

D.

14 cm

circletangentgeometrydiameterangle

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