Question

What is the arc length of a circle that has an 8-inch radius and a central angle that is 95 degrees? Use 3.14 for π and round your answer to the nearest hundredth.

Answer 1

we know that

[the length of a circumference]= 2*pi*r
for r=8 in
[the length of a circumference]= 2*pi*8-----> 50.24 in

if 360° ( full circle) has a length of------------> 50.24 in
95°-----------------------------> X
X=95°*50.24/360------> x=13.258 in--------> x=13.26 in

the answer is
13.26 in