Question

In a circle of radius 7 miles, find the length of the arc that subtends a central angle of 5 radians. Where would i start on this?

Answer 1

you could set up a ratio

circumference (all the way round) is to 2pi radians as sector is to 5 radians

Answer 2

2 pi radians is about 6.3 radians
5 radians will be most of the way round

Answer 3

or you can remember
s= r \( \theta\)
where s is arc length, r is radius, and θ is the central angle in radians

Answer 4

what exactly is the central angle? i did the problem and got like a crazy number, and it said the answer was 35.