Question

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

Answer 1

The correct answer is 32.97 m.

Explanation:

Verified by correct test results.

Answer 2

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