Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 3E
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Attached figure shows a circle of centre O and radius r. NOTE: Figure is not drawn to scale 
Points A and B belong to circumference of circle and angle AOB = 1 radian. Perimeter of shaded region is equal to 12.

It's request:
(a) Find value of r 
(b) From above, find EXACT area of unshaded region

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