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 radius. 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?

Question

Punkin

Mathematics

8 October, 13:42

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 radius. 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?

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Tania · Answer 1

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.