Distance Formula Calculator

Distance Formula Formula

Worked Example

The points (1, 2) and (7, 10):

1. d = √[(x₂ − x₁)² + (y₂ − y₁)²]
2. = √[(6)² + (8)²] = √100
3. = 10

Δx: 6 · Δy: 8 · d² = Δx² + Δy²: 100

Test-day tip

Look for Pythagorean triples: Δx = 6 and Δy = 8 give 10 straight away (a 3-4-5 triangle doubled), with no square root needed.

More Geometry and Trigonometry Calculators

• Midpoint Calculator

  M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

  endpoint: x₂ = 2Mx − x₁, y₂ = 2My − y₁

  Example: The segment from (−2, 3) to (6, −5): Midpoint = (2, -1).

  Open the midpoint 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.

  Open the circle equation calculator →

• Pythagorean Theorem Calculator

  a² + b² = c²

  c hypotenuse (opposite the right angle), a and b legs

  Example: A right triangle with legs 6 and 8: Hypotenuse c = 10.

  Open the pythagorean theorem calculator →

• 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.

  Open the arc length 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.