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The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomial and The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees when the arc length is equal to the radius

What is relation between degree of polynomials and degree equal $\pi /180$

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The same relation as the fact that the water boils at 100 degree and a right angle is 90 degree.... The word '' degree'' is used with completely different and unrelated meanings.

Emilio Novati
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There are lots of overworked terms in mathematics that have many unrelated meanings. "Degree" is one of them. but is far from the worst offender. Try "normal".

Robert Israel
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If there were a relation, and if it such relations were transitive, then considering that degrees of an arc can be converted to seconds of an arc, and seconds on the clock measure time, it would follow that polynomial degrees have the dimension of time.

P.S. Sorry, I was just joking. There is no relation except homonymy.

dxiv
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