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The radius of circle O is 32, and OC=13. The diagram is not drawn to scale. What is the length of AB? Round the answer to the nearest tenth.

29.2

34.5

58.5

69.0

The radius of circle O is 32, and OC=13. The diagram is not drawn to scale. What is the length of AB? Round the answer to the nearest tenth. 29.2 34.5 58.5 69.0 class=

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The length of chord AB is 58.5 units.

What is Chord?

The chord of a circle is defined as the line segment joining any two points on the circumference of the circle.

Here, radius OB = 32 units

         Perp. OC = 13 units

In right angle triangle OCB, by Pythagoras Theorem

                  OB² = OC² + CB²

                 (32)² = (13)² + (CB)²

                 1024 = 169 + CB²

                    CB² = 1024 - 169

                    CB² = 855

                    CB = 29.24

Length of AB = 2 X CB

                       = 2 X 29.24

                      = 58.5 units

Thus, the length of chord AB is 58.5 units.

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