Irrigation Area A center-pivot irrigation system provides water to a sector-shaped field as shown in the figure. Find the area of the field if 0 = 40.0° and r = 152 yd. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 31E
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6.1 Radian Measure
605
arlqs lerb
111. Irrigation Area A center-pivot irrigation system provides water
to a sector-shaped field as shown in the figure. Find the area of the
0 o field if 0 = 40.0° and r = 152 yd. d
%3D
%3D
r
Transcribed Image Text:6.1 Radian Measure 605 arlqs lerb 111. Irrigation Area A center-pivot irrigation system provides water to a sector-shaped field as shown in the figure. Find the area of the 0 o field if 0 = 40.0° and r = 152 yd. d %3D %3D r
Expert Solution
Step 1

Area of sector =θ360xπr2

Substitute θ=40°,r=152 in the equation

Area of sector= 40360xπx1522

                       =231049π

                   

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