A company builds metal stands for bicycle wheels. a new design calls for a v-shaped stand that will hold wheels with a 13-inch r

Question

3 years ago

13

A company builds metal stands for bicycle wheels. a new design calls for a v-shaped stand that will hold wheels with a 13-inch r

adius. the sides of the stand form a 70° angle to the nearest tenth of an inch, what should the length of the side of the v-shaped stand be so that it is tangent to the wheel?

Mathematics

1 answer:

aleksandrvk [35] · Answer 1 · 2022-03-09T05:44:16+03:00

The length of the side = The length of the arc intercepted by the central
angle

∴ length = Θ r
where Θ = central angle in radians
and r = radius

∴ Θ = 70° = 70 * π /180
r = 13 in.

∴ length = (70 * π /180) * 13 ≈ 15.88 in.