Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 1 feet, formed by a central angle of 65°. [Hint: Subtract the area of the triangle from the area of the sector to obtain the area of the segment.] The area of the segment is approximately square feet. (Do not round until the final answer. Then round to two decimal places as needed.) 65°

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 36E
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Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 1 feet, formed by a central angle of 65°. [Hint:
Subtract the area of the triangle from the area of the sector to obtain the area of the segment.]
The area of the segment is approximately
square feet.
(Do not round until the final answer. Then round to two decimal places as needed.)
65°
Transcribed Image Text:Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 1 feet, formed by a central angle of 65°. [Hint: Subtract the area of the triangle from the area of the sector to obtain the area of the segment.] The area of the segment is approximately square feet. (Do not round until the final answer. Then round to two decimal places as needed.) 65°
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