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

70 degree

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

`(7\pi)/(3)=2 \pi * 6* (angle)/(360)`

`(7\pi)/(3)=12\pi* (angle)/(360)`

divide by 12 pi on both sides

`(7)/(36)=(angle)/(360)`

Now we multiply both sides by 360

So angle = 70 degrees