Quarter Circle Arc Ellipse Approximation
In manufacturing and design it is often easier to create ellipse approximations rather than true ellipses. Several methods of creating pseudo-ellipses use circular arcs.
For example, two pairs of quarter circle arcs can be used to make a figure that looks very much like a true ellipse. The size difference between the arcs determines the shape's eccentricity.
Likewise, if you know r2 and r1, you can solve for a and b. All of the necessary formulas are given below, or you can use the convenient calculator above.
Calculating r2 and r1 from a and bGiven dimensions a and b, where a ≥ b and a ≤ (1+√2)b, you can find the values of r2 and r1 as well as the perimeter and area with the equations
Calculating a and b from r2 and r1Given r2 and r1, you can find the values of a and b as well as the perimeter and area with the equations
© Had2Know 2010