Question

when the radius is 8 meters,What is the arc length inscribed by a 1500 angle?
Round to the nearest tenth of a meter.

Answer 1

A) 150 π m
B) 8 π m
C) 15.9 m
D) 20.9 m

Answer 2

Arc length is just \(\Large A= r \times \theta\)
where r is the radius,
but \(\theta \) is the central angle in RADIANS.
so, angle needs to be converted from degrees to radians first.

Answer 3

do u know how to convert 150 degrees into radians ?

Answer 4

yes , 150 degrees will be 2.617993878 in radias

Answer 5

so A= 8 x 2.617993878 = 20.94395102
so when the answer is rounded to the nearest tenth it will be 20.9
am i correct

Answer 6

yes! thats correct :)

Answer 7

thank you so much for your help @hartnn :)

Answer 8

you're most welcome jody :)