The Hesapstan midpoint calculator is designed to locate the exact centre of the segment joining two points in the coordinate plane. Enter (x₁, y₁) and (x₂, y₂) and it returns the midpoint ((x₁+x₂)/2, (y₁+y₂)/2) as separate x and y components. Because each component is simply the average of the two corresponding coordinates, the result is a position rather than a length, and it sits at equal distance from both endpoints. The calculator works in the flat plane only: it does not find a centroid of three or more points, and it does not divide a segment in any ratio other than one to one.
What does this calculator do?
The calculator takes the coordinates of two points in the plane, (x₁, y₁) and (x₂, y₂), and returns the midpoint ((x₁+x₂)/2, (y₁+y₂)/2). The x and y components of the midpoint are shown as separate rows.
- Four numeric inputs: x₁, y₁, x₂, y₂.
- Midpoint x = (x₁ + x₂) / 2.
- Midpoint y = (y₁ + y₂) / 2.
- Decimal inputs are accepted; both comma and dot are recognized.
What is a midpoint?
The midpoint of two points is the point that divides the line segment between them into two equal halves. It is computed as the arithmetic mean of the corresponding coordinate components.
- (0,0) and (4,6) → midpoint (2, 3).
- (1,2) and (5,8) → midpoint (3, 5).
- (-2,-4) and (4,2) → midpoint (1, -1).
Worked example
Take the first point as (2, 3) and the second as (8, 11). The x component of the midpoint is the average of the two x values: (2 + 8)/2 = 10/2 = 5. The y component follows the same rule: (3 + 11)/2 = 14/2 = 7. The midpoint is therefore (5, 7), sitting exactly halfway along the segment joining the two endpoints.
- x component: (x₁ + x₂)/2 = (2 + 8)/2 = 5.
- y component: (y₁ + y₂)/2 = (3 + 11)/2 = 7.
- Midpoint: (5, 7).
An easy way to check the answer is that the midpoint must be the same distance from each endpoint. From (2, 3) to (5, 7) the distance is √(3² + 4²) = 5, and from (5, 7) to (8, 11) it is also √(3² + 4²) = 5. Swapping the order of the two points changes nothing, because addition does not depend on order.
How it differs from related ideas
A midpoint is the position that splits a segment into two equal halves. It is distinct from several ideas it is often confused with.
- A distance is a length while a midpoint is a position: one is a single number, the other a pair of coordinates.
- A centroid averages three or more points; for exactly two points it coincides with the midpoint, but for three it does not.
- A point dividing a segment in ratio m:n is the general section point; the midpoint is the special case where that ratio is 1:1.
- The midpoint is the centre of the circle having the segment as its diameter, though this calculator does not report that circle's radius.
How to use the calculator
- Enter the x₁ and y₁ coordinates of the first point.
- Enter the x₂ and y₂ coordinates of the second point.
- Use decimal input if needed.
- Read the result area: midpoint x and midpoint y.
The midpoint uses the same unit as the input coordinates. This calculator does not convert units.
Limitations
This calculator computes the midpoint of two points only. It does not compute an internal or external division point for a given ratio, and it does not perform unit conversion. Coordinates are bounded in magnitude by 1e15; inputs above that limit trigger a warning.
Frequently Asked Questions
How is the midpoint calculated?
The midpoint of two points is ((x₁+x₂)/2, (y₁+y₂)/2).
Can I enter negative coordinates?
Yes. Negative coordinates are valid; the midpoint is still computed correctly.
What if both points are the same?
If both points are the same, the midpoint is that point itself.
Does the calculator compute a ratio-based point?
No. It only computes the equal-ratio (1:1) midpoint.
Does it compute an internal division point?
No. Only the equal-ratio midpoint is supported; other divisions require a different calculator.
What unit is the midpoint in?
The midpoint uses the same unit as the input coordinates; no unit conversion is performed.