A wheel has 11 spokes evenly distributed around the rim of the wheel. What is the measure, in radians, of the central angle formed by adjacent pairs of spokes?

Question

asked Oct 18, 2017 18.1k views

2 Answers

Felipe FB · Answer 1 · 2017-10-24T05:03:14+0000

Answer:

The angle between adjacent pairs of spokes is 2π/11 radian or 0.57 radian

Explanation:

Consider the provided information.

Angle around the center is 360

360 is divided into 11 spokes, because

And with 11 spokes total number of angles would be 11. wheel has 11 spokes evenly distributed around the rim of the wheel.

As we know:

$360^\circ =2\pi\ radian=6.283 radian$

Since, the spokes are evenly distributed, the angle between any 2 spokes is:

$(360^\circ)/(11) =(2\pi\ radian)/(11)\approx0.57 radian$

Hence, the angle between adjacent pairs of spokes is 2π/11 radian or 0.57 radian