The arc intercepted by a certain central angle on the unit circle has a length of 11pi/6 units. Find the lengths of the arcs intercepted by the same angle on circles of radius 2 units,3 units,and 4 units. Explain?

Question

jim_thompson5910 · Answer

Rule:

arc length = (radius)*(angle in radians)

if the radius is 1, then the arc length is exactly equal to the angle in radians

august899 · Answer

So since the radius is 2,3,and 4 I just do 2*11pi/6?

jim_thompson5910 · Answer

if radius is 2, then yeah 2*(11pi/6) to get...

2*(11pi/6) = (2*11pi)/6 = 22pi/6 = 11pi/3

august899 · Answer

and I do the same for the 3&4?

jim_thompson5910 · Answer

correct

august899 · Answer

Okay.Thanks for the help!

august899 · Answer

One last question,When the answer came out as 11pi/3 is that the length of the arc or does is it supposed to be reduced?

jim_thompson5910 · Answer

11pi/3 is as reduced as it gets

jim_thompson5910 · Answer

11pi/3 is the length of the arc if the radius is 2 and the angle is 11pi/6 radians