Respuesta :
the total circle has a measure of 2π radian, so this portion is 1/(2π) of the whole circle
the circumference of the whole circle is 2πr
1/(2π) of 2πr=3.07
r=3.07
the circumference of the whole circle is 2πr
1/(2π) of 2πr=3.07
r=3.07
Using the formula for the length of an arc, it is found that the radius of the circle is of 3.07 in.
The length of an arc L, in a circle with radius r and central angle [tex]\theta[/tex], in radians, is given by:
[tex]L = r\theta[/tex]
In this problem:
- Central angle of 1 radian, thus [tex]\theta = 1[/tex].
- Arc length of 3.07 in, thus [tex]L = 3.07[/tex]
Then
[tex]L = r\theta[/tex]
[tex]r = 3.07[/tex]
The radius of the circle is of 3.07 in.
A similar problem is given at https://brainly.com/question/13079307
