   Chapter 14.3, Problem 68E

Chapter
Section
Textbook Problem

AreaShow that the area of the polar sector R (see figure) is A = r Δ r Δ θ , where r = ( r 1 + r 2 ) 2 is the average radius of R To determine

To Prove: The area of polar sector is A=rΔrΔθ, where r=(r1+r2)2 is the average radius of R Explanation

Given:

The polar sector:

r=(r1+r2)2

Formula Used:

The area of the sector is A=12r2θ

Calculation:

The area of the sector R is given by

A=Δθr222Δθr12

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