1 4 to 1 0.6 Distance Calculator
This calculator determines the straight-line distance between two points with coordinates (1, 4) and (1, 0.6) on a 2D plane. The result is displayed in both decimal and fractional forms.
How to use this calculator
The calculator is pre-filled with the coordinates (1, 4) and (1, 0.6). To calculate the distance:
- Review the pre-filled coordinates in the calculator panel.
- Click the "Calculate" button to compute the distance.
- View the result in both decimal and fractional forms.
- Use the "Reset" button to clear the calculator and start fresh.
The calculator automatically updates the chart to visualize the two points and the distance between them.
How the distance is calculated
The distance between two points (x₁, y₁) and (x₂, y₂) on a 2D plane is calculated using the distance formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
For the points (1, 4) and (1, 0.6):
Distance = √[(1 - 1)² + (0.6 - 4)²] = √[0 + (-3.4)²] = √11.56 = 3.4
The result is 3.4 units, which is equivalent to 17/5 in fractional form.
Worked example
Let's calculate the distance between (1, 4) and (1, 0.6):
- Subtract the x-coordinates: 1 - 1 = 0
- Subtract the y-coordinates: 0.6 - 4 = -3.4
- Square both differences: 0² = 0, (-3.4)² = 11.56
- Add the squared differences: 0 + 11.56 = 11.56
- Take the square root of the sum: √11.56 = 3.4
The distance between the points is 3.4 units, or 17/5 when expressed as a fraction.
Frequently Asked Questions
- What is the distance between (1, 4) and (1, 0.6)?
- The distance is 3.4 units, or 17/5 in fractional form.
- Can I calculate the distance between any two points?
- Yes, this calculator works for any two points on a 2D plane.
- What if the points have the same coordinates?
- The distance will be 0, as the points coincide.
- Is the result always positive?
- Yes, distance is always a non-negative value.
- Can I use this calculator for 3D coordinates?
- No, this calculator is designed for 2D coordinates only.