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Figure 1 |
Table 1 - Area of Circle and Ellipse |
Based on the new definition of the ellipse, the formula for the area of the
ellipse can also be derived. When transforming the circle to ellipse, it was
shown that the only factor that changes is the vertical value, or ‘y’
and that the horizontal factor, or ‘x’ remains unchanged. Based
on that, you can Start with the area of a circle and apply the ratio b/a as
shown in Table 1 - Area of Circle and Ellipse. This proves that rotating the
circle on the x axis in the z direction reduces the area by the b/a ratio.
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Figure 1 |
Table 1 - Area of Circle and Ellipse |
