Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of . Round to two decimal places.
A) inches
B) inches
C) inches
D) inches
E) inches

Question

Find the length of the arc, S, on a circle of radius 4 inches intercepted by a central angle of  . Round to two decimal places.
A) inches 
B) inches 
C) inches 
D) inches 
E) inches

Quizplus · Accepted Answer

We know that the length of an arc, S, on a circle of radius r intercepted by a central angle of θ degrees is given by:

S = (θ/360) * 2πr

Plugging in the given values, we get:

S = (11eb80b1_afdb_183d_a291_c7205d0abfd5_TB8633_11/360) * 2π(4)

Using a calculator, we get:

S ≈ 2.92

Rounding to two decimal places, we get:

S ≈ 11eb80b1_afdb_3f50_a291_bfad2fda400b_TB8633_11 inches

Therefore, the best choice is C.

Find the Length of the Arc, S, on a Circle