Question

What is the radius of a circle in which a 30° arc is 2 pi inches long?

Answer 1

convert degrees to radians. and use the formula
theta = arc-length/radius

Answer 2

what are radians?

Answer 3

good question.. you tell me what are degrees ?

360 degrees = 2 pi radians
=> 30 degrees = pi/6 radians

now you can apply theta = l/r formula to get the radius
pi/6 = 2 pi/r
=> r = 12 inches

Answer 4

wait so would you not use the equation A=n/360 2 pi r? cause thats what it said to use in the book.

Answer 5

I just could not figure out how to use the that formula to find the radius

Answer 6

do you understand the formula : theta = (arc length)/radius ?