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

Find the area enclosed by the cardioid r=2(1+ ).

  1. 3 π 9.42
  2. 6 π 18.85
  3. 12 π 37.7
  4. 4 π 12.57

Answer

B. 6 π 18.85

Solution

A= 12 02π4(1+ )2,d =2 02π≤ft(1+2 + 2 )d =2(2π+0+π)=6π.

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