Polar Area. The graph of the polar function 3 +2²2 +2=²2COS (0) 1 +=cos 24 r = (shown at the right) looks very similar to a circle with diameter on the x-axis. Find the coordinates of the intersections with the x-axis and use them to calculate the area of the circle that has the blue line segment as a diameter. Then compare with the area inside the polar curve. What is the exact difference between the areas? Area of Circle: Area Inside Polar Curve: Exact Difference: 1- D 0 2 -1-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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Polar Area. The graph of the polar function
3
1
r=²+²-cos(0)
2
4
(shown at the right) looks very similar to a circle with
diameter on the x-axis. Find the coordinates of the
intersections with the x-axis and use them to
calculate the area of the circle that has the blue line
segment as a diameter. Then compare with the area
inside the polar curve. What is the exact difference
between the areas?
Area of Circle:
Area Inside Polar Curve:
Exact Difference:
Work:
-1.
0
-1-
·N·
2
Transcribed Image Text:Polar Area. The graph of the polar function 3 1 r=²+²-cos(0) 2 4 (shown at the right) looks very similar to a circle with diameter on the x-axis. Find the coordinates of the intersections with the x-axis and use them to calculate the area of the circle that has the blue line segment as a diameter. Then compare with the area inside the polar curve. What is the exact difference between the areas? Area of Circle: Area Inside Polar Curve: Exact Difference: Work: -1. 0 -1- ·N· 2
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