Web Analytics
Answered

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?

Verified Answer :

I hope this helps you




Arc length = central angle/360.2pi.r


7/3pi=?/360.2pi.6


?=7.10


?=70

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

Related Questions