Question

segment cb is tangent to the circle and has a length of 7 the circle has a radius of 6 solve for y the length of a segment cd

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since segment CB is tangent to the circle, we know that it is perpendicular to radius CD at the point of tangency. This forms a right triangle with CB as the hypotenuse, and CD as one of the legs.

We can use the Pythagorean theorem to solve for the length of CD:
CD^2 + 6^2 = 7^2
CD^2 + 36 = 49
CD^2 = 13
CD = sqrt(13)

Therefore, the length of segment CD is sqrt(13).