. 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 segment CD.

Question

13.9 units
9.22 units
6 units
3.22 units

Answer 1

To solve for y, we can use the Pythagorean Theorem:

CB^2 + CD^2 = (radius + y)^2
7^2 + y^2 = (6 + y)^2
49 + y^2 = 36 + 12y + y^2
13y = 13
y = 13/13
y = 1

Therefore, the length of segment CD is 1 unit.