Question

(LOOK AT IMAGE)

A robot can be programmed to draw any regular polygon.

The instructions seen in the example below are used to draw a regular 10- sided polygon with side lengths of 3 cm.

By changing the numbers in the program below, write down the simplest set of instructions needed to make the robot draw a regular 12-sided polygon with side lengths of 5 cm.​

Answer 1

Repeat the following 12 times:

> Move forward 5 cm

> Turn clockwise 30°

Want to know how I found this out? Well, let me tell you.

First, they gave us the information that a 12-sided polygon is to be modeled with side lengths 5 cm. So, that basically gives us our first step. That was easy!

Well, now this is a bit harder. How many degrees do we move? There're so many possibilities! Well, not quite.

According to the Polygon Exterior Angle-Sum Property, the exterior angles of any polygon is always 360 degrees. So, we just divide 360 by how many sides there are in the polygon.

There are 12 sides in this polygon, so,
`(360)/(12)` is equal to 30 degrees per side. Well, now we have the second step! We're all done. Congratulations!