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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-

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-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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