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

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.

anonymous · Answer

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

hartnn · Answer

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.

hartnn · Answer

do u know how to convert 150 degrees into radians ?

anonymous · Answer

yes , 150 degrees will be  2.617993878 in radias

anonymous · Answer

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

hartnn · Answer

yes! thats correct :)

anonymous · Answer

thank you so much for your help @hartnn :)

hartnn · Answer

you're most welcome jody :)