# <span lang="EN-US

BOC = 2 × BAC

BOC = 2 × 30°

BOC = 60°______________ (i)

OB = OC

OBC = OCB ________________ (ii)

In triangle AOB,

OBC + OCB + BOC = 180°[Sum of angles of triangle]

2 OCB + 60° = 180°

2 OCB = 120°

OCB = 60°

OBC = 60°[From equation (ii)]

From equation (i) and (ii),

OBC = OCB = BOC = 60°

BOC is an equilateral triangle.

OB = OC = BC

Hence, BC is the radius of the circumcircle.

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