. 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.

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Captionless Image
13.9 units
9.22 units
6 units
3.22 units

1 answer

To solve for y, we first need to identify that segment CB is the hypotenuse of a right triangle with sides of length 6 and y. Using the Pythagorean theorem, we can set up the following equation:
(6)^2 + y^2 = (7)^2
36 + y^2 = 49
y^2 = 13
y = √13
y ≈ 3.61

Therefore, the length of segment CD (y) is approximately 3.61 units.