Based on the measures provided in the diagram, determine the measure of the angle e. 58 (You may assume that point A is the center of the circle.) (Figure may not be drawn to scale.) O 116° 58° 320 290

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 30E
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Based on the measures provided in the
diagram, determine the measure of the
angle e.
58
(You may assume that point A is the center of the circle.)
(Figure may not be drawn to scale.)
O 116°
580
320
290
Transcribed Image Text:Based on the measures provided in the diagram, determine the measure of the angle e. 58 (You may assume that point A is the center of the circle.) (Figure may not be drawn to scale.) O 116° 580 320 290
Expert Solution
Step 1

Given that

 

Geometry homework question answer, step 1, image 1

GivenCAB =58°and CDB = θGiven two sectors CAB and CDBNow, we find area of sectors (for CAB) Given, angle of sector (θ) = 58° So, Area of sector(for CAB) = πr2 ×θ360°                                            =πr2 ×58°360°   1

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