What relationship or pattern is noticed between the number of instructions and the sides of the polygon.? What relationship is noticed between the angle turned and the sides of the polygon? For the first question, I answered the number of instructions is twice the number of sides of the polygon, am I correct?

Mathematics

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Answer

You are correct about your first answer.

  • Relationship between the number of instructions and the sides of the polygon: The number of individual commands executed (forward and turn) is twice the number of sides of the polygon. For an nn-sided polygon, there are nn fd commands and nn rt commands, totaling 2n2n instructions.

  • Relationship between the angle turned and the sides of the polygon: The angle turned is the exterior angle of the regular polygon. This angle is found by dividing 360∘360^\circ by the number of sides (nn).

    Angle Turned=360∘Number of Sides\text{Angle Turned} = \frac{360^\circ}{\text{Number of Sides}}
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