Question

In a circle of radius 4 miles, the length of the arc that subtends a central angle of 2 radians is

Answer 1

We are tasked to solve for the length of the arc of a circle given a radius of around 4 miles and a central angle that subtends the arc 2 radians. In order to solve for this, we need to use the length of the arc formula given,

s=rΘ

Where r is the radius and Θ is the subtended central angle given in radians
Simply substituting the given in the formula, we get,
s=4mi(2 rad)= 8 miles

Thus, the answer to the question above is 8 miles.