Engineering Board Exam Reviewer · Applications: Area Between Curves · medium

Find the total area enclosed by the lemniscate r2=16 2 .

  1. 16
  2. 8
  3. 32
  4. 16 π 50.27

Answer

A. 16

Solution

By symmetry, A=4· 12 0π/416 2 ,d =32≤ft[ 2 /2 ]0π/4=16.

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