Question

For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of
7
3
π meters?

Answer 1

I hope this helps you




Arc length = central angle/360.2pi.r


7/3pi=?/360.2pi.6


?=7.10


?=70

Answer 2

Answer:

70 degree

Step-by-step explanation:

Length of the arc formula = circumference of the circle * central angle / 360

circumference of the circle formula = $2\pi r$

where r is the radius of the circle, given radius = 6

$\frac{7\pi}{3}=2 \pi * 6* \frac{angle}{360}$

 $\frac{7\pi}{3}=12\pi* \frac{angle}{360}$

divide by 12 pi on both sides

$\frac{7}{36}=\frac{angle}{360}$

Now we multiply both sides by 360

So angle = 70 degrees