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
Accepted Solution
A:
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