Q&A for How to Calculate the Area of an Ellipse

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  • Question
    How do I find A and B of an ellipse?
    David Jia
    Math Tutor
    David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
    Math Tutor
    Expert Answer
    To find A, measure from the center of the ellipse to the longest edge. For B, find the length from the center to the shortest edge.
  • Question
    How do I calculate a half ellipse area?
    Community Answer
    Since we know the area of an ellipse is πab, area of half the ellipse will be (πab)/2
  • Question
    What is a 3-dimensional ellipse called?
    Community Answer
    A 3-dimensional ellipse is called an "ellipsoid."
  • Question
    What is the volume of a ellipsoid?
    Donagan
    Top Answerer
    It is (4π/3)(abc), where a, b and c are the three principal diameters of the ellipsoid.
  • Question
    How should I calculate volume of half an ellipse?
    Community Answer
    An ellipse is 2-dimensional whereas volume is 3-dimensional. Thus, an ellipse (or half an ellipse) will never have a volume.
  • Question
    How do I find the area of a circle?
    Donagan
    Top Answerer
    The area of a circle is pi multiplied by the square of the radius.
  • Question
    How do you determine the diameter of an ellipse?
    Donagan
    Top Answerer
    An ellipse does not have a diameter. It has a major axis and a minor axis. These axes may be given, or they can be measured. They can also be calculated using the formulas shown at MathOpenRef.com/ellipseaxes.html.
  • Question
    How do I calculate the perimeter of an ellipse?
    Donagan
    Top Answerer
    It's complicated. See MathIsFun.com/geometry/ellipse-perimeter.html.
  • Question
    What is circumference of an ellipse?
    Donagan
    Top Answerer
    The formula is surprisingly complicated. Websearch "ellipse circumference."
  • Question
    What is an ellipsoid?
    Donagan
    Top Answerer
    It's a three-dimensional figure generated by rotating an ellipse around one or both of its axes. It looks much like an American football.
  • Question
    How do I calculate an ellipsoid area?
    Donagan
    Top Answerer
    If you want the formula for the surface area of an ellipsoid, it is complicated and beyond the scope of this Q&A platform. See "vCalc.com/wiki/vCalc/ellipsoid+-+surface+area". (If you just want the formula for the area of an ellipse, it's in the article above.)
  • Question
    Why should I calculate the area of an ellipse?
    Donagan
    Top Answerer
    There could be any number of reasons. For example, you might need to paint an elliptical floor space, and you'd have to know the area of the ellipse so you'll know how much paint to buy.
  • Question
    What can be the least perimeter for a 2-dimensional area?
    Donagan
    Top Answerer
    A circle has the shortest perimeter of any geometric shape for a given area.
  • Question
    What is the area of a semicircle?
    Donagan
    Top Answerer
    Multiply pi by the square of the radius. Then divide by 2.
  • Question
    How do I find the area of an ellipse if I only know the major axis?
    Donagan
    Top Answerer
    It's impossible without further information.
  • Question
    Are ovals and ellipses the same thing?
    Donagan
    Top Answerer
    They are not identical. An ellipse has two focal points. An oval can have either one or two focal points.
  • Question
    Can I calculate the area of the ellipse if I only know the circumference?
    Donagan
    Top Answerer
    No. You would need other information in order to find the area. A given circumference could surround many different areas and axes.
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