   Chapter 10.5, Problem 6E

Chapter
Section
Textbook Problem

# Finding the Area of a Polar Region In Exercises 7-18, Find the area of the region.Interior of   r = 3 cos θ

To determine

To calculate: The value of the area of the interior region of polar equation r=3cosθ.

Explanation

Given:

The provided polar equation is r=3cosθ.

Calculation:

Use the following steps in Ti-83 calculator to plot the graph:

Step1: Press MODE Key and select POL mode.

Step2: Press (Y=) Key.

Step3: Press r1=3cosθ

Step4: Now press the (GRAPH) key and the graph is obtained:

The shaded region bounded by the curve r=6sinθ is shown below:

From the figure, it can be seen that the integration region will be π2θπ2.

The area of shaded section bounded by graph of r=f(θ) between the radial lines θ=α and θ=β is:

A=12αβ[f(θ]2

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In problems 37-44, perform the indicated operations and simplify. 41.

Mathematical Applications for the Management, Life, and Social Sciences

#### Solve for y:5x3y=8

Elementary Technical Mathematics

#### The third partial sum of is:

Study Guide for Stewart's Multivariable Calculus, 8th 