In a circle of radius 2 inches an arc of length 10 inches has angle 𝜃. Find the measure of the angle in degrees and radians.

Question

please show how you got it

Answer 1

1^r = 2 in definition

5^r = 10 in multiplication

π^r = 180º definition

5^r = 900º / π multiplication/division

Answer 2

s = rθ; θ = s/r = 10inch/2inch = 5 rad = 5·180°/π = 286.48°