SOLUTION: Given the circle with center O, radius OA, diameter BC, where OA perpendicular BC, and OA=4cm find the length of AB?

Question 448073: Given the circle with center O, radius OA, diameter BC, where OA perpendicular BC, and OA=4cm find the length of AB?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!




Since OA is 4 and is a radius, and since OB is also a radius,
OB = 4 too. The Pythagorean theorem says

AB� = OA� + OB�
AB� = 4� + 4�
AB� = 16 + 16
AB� = 32
AB = �32 = �(16*2) = 4�2 or about 5.657 cm.

Edwin

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