Engineering Board Exam Reviewer · Ellipses · medium

Find the area enclosed by the ellipse x2/16+y2/9=1.

  1. 24 π 75.4
  2. 12 π 37.7
  3. 7 π 21.99
  4. 144 π 452.39

Answer

B. 12 π 37.7

Solution

A=π ab=π(4)(3)=12π 37.70.

More Ellipses questions

  1. For any point on the ellipse 9x2+25y2=225, find the sum of its distances from the two foci.
  2. Find the foci of the ellipse (x-2)2/25+(y+1)2/9=1.
  3. Find the length of the latus rectum of the ellipse x2/36+y2/20=1.
  4. Find the equation of the ellipse with foci at ( 3,0) and a major axis of length 10.
  5. Find the eccentricity of the ellipse x2/25+y2/9=1.
  6. Find the foci of the ellipse x2/25+y2/9=1.
  7. Find the length of the major axis of the ellipse x2/25+y2/9=1.
  8. Find the distance from the center of the ellipse x2/25+y2/9=1 to each directrix.
  9. Find the area of the largest rectangle that can be inscribed in the ellipse x2/25+y2/9=1.
  10. Find the distance between the foci of the ellipse 4x2+9y2-16x+18y-11=0.

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