How to Calculate the Circumference of an Ellipse

An ellipse is a type of closed geometric curve that is made by intersecting a cone with a plane (a flat surface). Calculating the exact circumference of an ellipse involves calculus (advanced mathematics). However, when the ellipse's minor axis (the height) is 1/2 the length of the major axis (the length), it's possible to create a good approximation of an ellipse's circumference, c, using the formula c=a/2*square root(93.2886751), where "a" is the arc length.

Instructions

    • 1

      Divide the arc length by 2. For example, if the arc length is 10 cm, then:
      10 cm / 2 = 5 cm.

    • 2

      Find the square root of 93.2886751:
      Square root(93.2886751)=9.65860627.

    • 3

      Multiply Step 1 by Step 2:
      5 cm * 9.65860627= 48.2930313 cm.

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