Conic Sections: Challenge #4

Geometry Level 4

Subunit: Ellipse

An ellipse is described by using an endless string which is passed over two pins. If the axes are 6 cm and 4 cm, the necessary length of the string and the distance between the pins (in centimeters) are respectively 'a' and 'b'. Find the numerical value of \( a^{2} + b^{2}\)

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