A hexagon is inscribed in a circle As see in the picture.Find the length of an arc between consecutive vertices. Round to the nearest hundred Need help homework

Question

asked May 4, 2022 62.2k views

1 Answer

Torr · Answer 1 · 2022-05-11T03:49:20+0000

Answer:

The length of the arc between consecutive vertices is:

$S=8.38\: in$

Explanation:

The angle between consecutive vertices is 60°, it is because it forms an equilateral triangle.

Now, the length arc is defined as:

$S=R\theta$

Where:

We see the angle is in grades, but we need to convert it to radians.

$\theta=(60^(\circ))/(360^(\circ))(2\pi)$

$\theta=1.05\: rad$

Finally, the length of the arc between consecutive vertices will be:

S=8*1.05

$S=8.38\: in$

I hope it helps you!