Midpoint Calculator

Midpoint Formula

Worked Example

The segment from (−2, 3) to (6, −5):

1. M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
2. = ((-2 + 6)/2, (3 + -5)/2)
3. = (2, -1)

Slope of the segment: -1

Test-day tip

For perpendicular bisector questions, combine the midpoint with the negative reciprocal of the segment’s slope.

More Geometry and Trigonometry Calculators

• Distance Formula Calculator

  d = √[(x₂ − x₁)² + (y₂ − y₁)²]

  the Pythagorean theorem on the coordinate plane

  Example: The points (1, 2) and (7, 10): Distance d = 10.

  Open the distance formula calculator →

• Circle Equation Calculator

  (x − h)² + (y − k)² = r²

  from x² + y² + Dx + Ey + F = 0: h = −D/2, k = −E/2, r² = h² + k² − F

  Example: The circle x² + y² − 4x + 6y − 12 = 0: Center and radius: center (2, -3), r = 5.

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• Arc Length Calculator

  s = rθ, A = ½r²θ

  θ in radians; in degrees s = 2πr × θ/360

  Example: A circle of radius 6 with a 120° central angle: Arc length s = 12.56637061.

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• Special Right Triangles Calculator

  30-60-90: 1 : √3 : 2; 45-45-90: 1 : 1 : √2

  short leg : long leg : hypotenuse; leg : leg : hypotenuse

  Example: A 30-60-90 triangle with short leg 5: Sides: short leg = 5, long leg = 5√3, hypotenuse = 10.

  Open the special right triangles calculator →

Frequently asked questions

Sources

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.