Find the length of the arc subtended by the angle 8∘ 12'8∘ 12′ with a radius of 11.4.   Give your answer rounded to 4 decimal places.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Find the length of the arc subtended by the angle 8∘ 12'8∘ 12′ with a radius of 11.4.   Give your answer rounded to 4 decimal places.

 

Expert Solution
Step 1

Given,

Angle, θ=8°12'

Radius, r=11.4 units

Formula for the length of arc is given by

S=r θ

Where,

S is length of the arc

r is radius

θ is the angle in radian.

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