Answer: d. 39.3 inches
Step-by-step explanation:
Given the measurement of central angle ( [tex]\frac{5\pi}{6}[/tex] ) and the measure of radius (15 inches), the lenght of the intercepted arc in the circle can be calculated with the formula:
[tex]arc\ length=r\theta[/tex]
Where r represents the radius of the circle and [tex]\theta[/tex] the central angle.
Substituting [tex]\theta=\frac{5\pi}{6}[/tex] and [tex]r=15inches[/tex] into the formula [tex]arc\ length=r\theta[/tex]:
[tex]arc\ length=(15inches)(\frac{5\pi}{6})\\arc\ length=39.3inches[/tex]
