find the length of the arc cut off by the given central angle theta in a circle of radius r.

Question

find the length of the arc cut off by the given central angle theta in a circle of radius r.

a. θ = 171◦ , r = 8 m

b. θ = π rad, r = 11 in

Answer 1

L = r * θ

a)

θ = 171° -> should be converted to rad

θ = 171° * (π / 180) = 2.985 rad

L = 8 * 2.985 = 23.876 m

b)

L = 11 * π = 34.56 in

Answer 2

Circumference/circle=d*pi; or 2r*pi.

circ/360=per degree

(circ/360)θ=length