Chapter 9: Q. 46 (page 756)
Use Theorem 9.13 to show that the area of the circle defined by the polar equationis.
Short Answer
The area of the circle is.
Chapter 9: Q. 46 (page 756)
Use Theorem 9.13 to show that the area of the circle defined by the polar equationis.
The area of the circle is.
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Get started for freeFind 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
Each of the integrals or integral expressions in Exercises represents the area of a region in the plane. Use polar coordinates to sketch the region and evaluate the expressions.
role="math" localid="1649518287481" .
Complete the square to describe the conics in Exercises .
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Three noncollinear points determine a unique circle. Do three noncollinear points determine a unique ellipse? If so, explain why. If not, provide three noncollinear points that are on two distinct ellipses.
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