What part of a revolution have you turned through if you stand facing
east and turn clockwise to face north ?

Answer

To determine what part of a revolution you have turned through when standing facing east and turning clockwise to face north, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Starting Direction**:
- You are initially facing east.

2. **Identify the Ending Direction**:
- You want to turn to face north.

3. **Understand the Degrees of a Full Revolution**:
- A full revolution is 360 degrees.

4. **Determine the Angle of Turn**:
- To turn from east to north, you need to turn 90 degrees clockwise.
- This is because:
- From east to south is 90 degrees.
- From south to west is another 90 degrees.
- From west to north is another 90 degrees.
- However, since we are only turning from east to north, we only consider the first 90 degrees.

5. **Calculate the Fraction of the Revolution**:
- To find out what part of the revolution this 90 degrees represents, we use the formula:
\[ \text{Fraction of revolution} = \frac{\text{Angle turned}}{\text{Total degrees in a revolution}} = \frac{90}{360} \]
- Simplifying this gives:
\[ \frac{90}{360} = \frac{1}{4} \]

### Final Answer:
You have turned through **1/4 of a revolution** when you turn clockwise from east to north.

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