Question

Is it possible to construct a sector such that the length of the radius is equal to the length of the arc created by its central angle?

Explain why or why not, and include the radius lengths and central angle measures that you tried.

Answer 1

No

A 30 degree central angle would be a 30 degree arc.

The sin of 30 degrees is 0.5 so the arc would be just greater than 15, much less than 30.