The tangent BD is drawn to the circle centered at point O and R = 4 cm (B is the tangency point).
| December 30, 2020 | education
The tangent BD is drawn to the circle centered at point O and R = 4 cm (B is the tangency point). Find the length of the segment OD if the angle BOD = 45 degrees.
Because BD tangent => BD perpendicular to the radius. Radius = 4 Angle BOD, by condition = 45 => BDO = 45 => BD = BO = R = 4 By the Pythagorean theorem, we find DO = √ 32 = 4 √2.
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