   Chapter 10.5, Problem 71E

Chapter
Section
Textbook Problem

# Area of a Region For each polar equation, sketch its graph, determine the interval that traces the graph only once, and find the area of the region bounded by the graph using a geometric formula and integration.(a) r = 10 cos θ (b) r = 5 sin θ

(a)

To determine

To Graph: The graph of polar equation r=10cosθ.

Explanation

Given:

Polar equation is r=10cosθ.

Graph:

Plot the point with the help of below table:

 θ 0 π6 π4 π2 10cosθ 10 1032 10

(b)

To determine

To Calculate: The interval that traces the graph only once.

(c)

To determine

To Calculate: The area of region bounded by the graph using geometric formula.

(d)

To determine

To Calculate: The area of region bounded by the graph using integration

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