Question

Plz help ASAP 15 points 4. XY is tangent to circle Zat point Y. Xw is tangent to circle Zat point W.

If XY = 12 units, what is the length of the radius of circle Z to the nearest tenth of a unit
A. 4.8 units
B. 5.0 units
C. 4.5 units
D. Not here

Answer 1

Answer: 4.8 units

Explanation:

Answer 2

9514 1404 393

Answer:

A. 4.8 units

Explanation:

Segment ZX can divide the figure into two right triangles. Then angle XZY is 136°/2 = 68°. The tangent relation tells you ...

Tan = Opposite/Adjacent

tan(68°) = XY/r

r = 12/tan(68°) ≈ 4.848 ≈ 4.8

The radius of the circle is about 4.8 units.