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Areas of regions bounded by polar functions: Find the areas of the following regions. The area bounded by the function r=a, where a is a positive constant.

Short Answer

Expert verified

The area bounded by the function is4π36unit2

Step by step solution

01

Given information

The function isr=a, whereais a positive integer.

02

Area 

The area of the curve is given by,

A=12αβr2dθA=1202πa2dθA=12a3302πA=2π36-0A=8π36A=4π36unit2

The area of the curve isA=4π36unit2

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