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 OC13 The diagram is not drawn to scale What is the length of AB Round the answer to the nearest tenth 292 345 585 690 class=

Respuesta :

I hope this helps you
Ver imagen Аноним

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.

Learn more about Chord from:

https://brainly.com/question/21686011

#SPJ2