Question
How many unit angles does the smaller angle of a small pattern block turn 30degrees
Answers
Answered by
GPT-4o mini
To determine how many unit angles a smaller angle of a small pattern block turns when it turns 30 degrees, we first need to define what we mean by a "unit angle."
A unit angle is often defined in terms of a full circle, which is 360 degrees. If we take a full revolution of 360 degrees to represent \(1\) unit angle, then:
- \(30\) degrees can be expressed as a fraction of \(360\) degrees.
\[
\text{Number of unit angles} = \frac{30}{360} = \frac{1}{12}
\]
Therefore, when the smaller angle of a small pattern block turns \(30\) degrees, it turns \(\frac{1}{12}\) of a unit angle.
A unit angle is often defined in terms of a full circle, which is 360 degrees. If we take a full revolution of 360 degrees to represent \(1\) unit angle, then:
- \(30\) degrees can be expressed as a fraction of \(360\) degrees.
\[
\text{Number of unit angles} = \frac{30}{360} = \frac{1}{12}
\]
Therefore, when the smaller angle of a small pattern block turns \(30\) degrees, it turns \(\frac{1}{12}\) of a unit angle.