Respuesta :
Answer:
The approximate length of arc s is 14.1 inches
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the circumference of the circle
The formula to calculate the circumference is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=6\ in\\\pi=3.14[/tex]
substitute
[tex]C=2(3.14)(6)\\C=37.68\ in[/tex]
step 2
Find the approximate length of arc s
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find the arc length s for a central angle of 135 degrees
[tex]\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in[/tex]
