Chapter 9: Q. 45 (page 756)
Use Theorem 9.13 to show that the area of the circle defined by the polar equation is .
Short Answer
The area of the circle is
Chapter 9: Q. 45 (page 756)
Use Theorem 9.13 to show that the area of the circle defined by the polar equation is .
The area of the circle is
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Get started for freeComplete the square to describe the conics in Exercises .
Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression
The integral is
in exercise 31-36 find a definite integral that represents the length of the specified polar curve, and then use graphing calculator or computer algebra system to approximate the value of integral
The entire limacon
Find a definite integral expression that represents the area of the given region in polar plane and then find the exact value of the expression
The region inside the circle
Use polar coordinates to graph the conics in Exercises 44–51.
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