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Title: (a)To draw the Cardioid (b)The area of region inside the Cardioid (c)Derive the formula to find the area between origin and the curve
Description: Draw the cardioid ,The area of region inside the cardioid , Derive the formula to find the area between origin and the curve
Description: Draw the cardioid ,The area of region inside the cardioid , Derive the formula to find the area between origin and the curve
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(a)Draw the cardioid (b) The area of region inside the cardioid
(c)Derive the formula to find the area between origin and the curve
r = f(�) , � ⪇ � ⪇ �
(a)
Draw the graph of cardioid r = a(1 + cos �), a > 0
Solution
The equation indicates that radius r traces the curve exactly once as
� runs from 0 to 2�
...
Here values are taken in degrees
...
8
r=1
...
5
r = 1
...
5
r=a
r=0
...
8
cos 180°=-1
r=0
...
Approximate the region with n nonoverlapping circular sectors
based on partition p of angle OQG
The sector ODE is one of the typical sectors from n sectors
Title: (a)To draw the Cardioid (b)The area of region inside the Cardioid (c)Derive the formula to find the area between origin and the curve
Description: Draw the cardioid ,The area of region inside the cardioid , Derive the formula to find the area between origin and the curve
Description: Draw the cardioid ,The area of region inside the cardioid , Derive the formula to find the area between origin and the curve