Suppose we want to develop software for a graphic package and we are given the task to implement circle class. The circle class has to be translatable from its origin. And it should also be able to give perimeter and area of the circle. Identify the data and method requirements for the class and give the data flow of translation method.

Resolution=Voltage Range​/2^n

Where:

• Voltage Range = 3.3V (the output voltage range from 0V to 3.3V)
• n = number of bits in the digital input (12 bits in this case)

Now, let's calculate the resolution:

Resolution = 3.3/2^12 
                  ​=0.80586mV

So, the resolution of the analogue output is approximately 0.80586 mV per bit.

To find the sets \( X \) and \( Y \) based on the given information, we need to interpret the provided conditions step by step.

### Given:

1. \( X \cup Y = \{1, 2, 3, 5, 6, 8, 9, 10\} \)
2. \( X \cap Y = \{1, 5\} \)
3. \( Y - X = \{2, 6, 9, 10\} \)

### Step 1: Using \( Y - X \)

From condition 3, we know that:
\[
Y - X = \{2, 6, 9, 10\}
\]
This means that the elements \( 2, 6, 9, \) and \( 10 \) are in \( Y \) but not in \( X \). Therefore, we can express \( Y \) as:
\[
Y = (Y - X) \cup (X \cap Y)
\]
Since \( X \cap Y = \{1, 5\} \), we can write:
\[
Y = \{2, 6, 9, 10\} \cup \{1, 5\} = \{1, 2, 5, 6, 9, 10\}
\]

### Step 2: Using \( X \cup Y \)

Now, we know:
\[
X \cup Y = \{1, 2, 3, 5, 6, 8, 9, 10\}
\]
And we have \( Y = \{1, 2, 5, 6, 9, 10\} \). Now we can find \( X \):
\[
X = (X \cup Y) - Y
\]
This gives us:
\[
X = \{1, 2, 3, 5, 6, 8, 9, 10\} - \{1, 2, 5, 6, 9, 10\}
\]
Calculating this, we get:
\[
X = \{3, 8\}
\]

### Step 3: Verification

Now we need to verify if the derived sets satisfy all the conditions.

- **Checking \( X \cup Y \)**:
\[
X \cup Y = \{3, 8\} \cup \{1, 2, 5, 6, 9, 10\} = \{1, 2, 3, 5, 6, 8, 9, 10\} \quad \text{(True)}
\]

- **Checking \( X \cap Y \)**:
\[
X \cap Y = \{3, 8\} \cap \{1, 2, 5, 6, 9, 10\} = \{1, 5\} \quad \text{(True)}
\]

- **Checking \( Y - X \)**:
\[
Y - X = \{1, 2, 5, 6, 9, 10\} - \{3, 8\} = \{2, 6, 9, 10\} \quad \text{(True)}
\]

### Conclusion

Thus, the sets \( X \) and \( Y \) are:

\[
X = \{3, 8\}
\]
\[
Y = \{1, 2, 5, 6, 9, 10\}
\]