The [tex]\frac{1}{360}[/tex]th of the circumference is 0.31 centimeters. The arc subtended by the angle's rays is 12.5 % of the circumference of the circle.
In this question we must understand and apply the relationships between arc length and circumference. By geometry we know that central angle of a circle equals 360° and the circle arc is directly proportional to central angle.
The [tex]\frac{1}{360}[/tex]th of the circumference is obtained by multiplying the length of the circumference by [tex]\frac{1}{360}[/tex], then the length of the [tex]\frac{1}{360}[/tex]th of the circumference is:
[tex]s = \frac{1}{360}\times 111.6\,cm[/tex]
[tex]s = 0.31\,cm[/tex]
The [tex]\frac{1}{360}[/tex]th of the circumference is 0.31 centimeters. [tex]\blacksquare[/tex]
The arc subtended by the angle's rays is found by dividing the subtended arc by the arc length:
[tex]n = \frac{13.95\,cm}{111.6\,cm} \times 100\,\%[/tex]
[tex]n = 12.5\,\%[/tex]
The arc subtended by the angle's rays is 12.5 % of the circumference of the circle. [tex]\blacksquare[/tex]
To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983
