AB and AC – segments of tangents drawn to a circle centered at point O. Distance AO = 23 cm, AB = 17 cm.

AB and AC – segments of tangents drawn to a circle centered at point O. Distance AO = 23 cm, AB = 17 cm. Find the length of the segment AC and the radius of the circle.

The radius of the circle is equal to the segment AO and is equal to 23 cm. Consider tr-ik ABC. It is rectangular, tk angle A is straight, tk angle A is an inscribed angle. based on the diameter. OB and OS are radii, therefore the hypotenuse of the BC is 23 * 2 = 46. AC squared is 46 to a square – 17 squared = 1827. AC is approximately 42.