In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. what is the arc length? use 3.14 for π . enter your answer as a decimal in the box. m

1. You can solve this problem by applying the formula for calculate the arc length of a circle, which is shown below:
 
 s=θr
 
 s is the arc lenght of the arc.
 θ is the central angle (θ= 7π^4 radians).
 r is the radius of the arc (r=6 m).
  
 2. When you substitute these values into the formula for calculate the arc lenght, you obtain:
 
 s=θr
 s=(7π^4 radians)(6 m)
 s=(7(3.14)^4 radians)(6 m)
 s=4082.89 m
 
 What is the arc length?
 
 The answer is:4082.89 m

b

Explanation: