A circle having a radius of ? =1/2(3 + 2√2) ?? is cut into segments by a chord which is √2 ?? from the center of the circle. Compute the following: a) the area of the smaller  segment and b) the perimeter of the segment.

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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A circle having a radius of ? =1/2(3 + 2√2) ?? is cut into segments by a chord which is √2 ?? from the center of the circle. Compute the following:

a) the area of the smaller 
segment and

b) the perimeter of the segment.

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