Calculate linear spread from MOA and range, find MOA from spread and range, or convert an angular adjustment to scope clicks.

Find the linear span of an angle at a known range.

True-MOA geometry uses a right triangle with an angle below 90° (5400 MOA).

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MOA Formula

The following formulas are used to calculate the MOA and spread respectively.

MOA = 60 × A
S = 36 × D × tan(MOA × pi / 10800)
  • MOA is the angle in true minutes; A is the angle in degrees
  • S is the total spread (inches)
  • D is the total horizontal distance (yards)

For true MOA, calculate MOA = atan(S / (36 × D)) × 10800 / π, where S is in inches and D is in yards. At small angles, S ≈ MOA × 1.04719755 × D / 100. The separate shooter’s MOA (SMOA) convention uses exactly 1 inch per 100 yards.

MOA Definition

MOA is short for minute of angle and is used to describe 1/60th of a degree.

MOA Example

How to calculate MOA?

  1. First, determine the absolute angle.

    Measure the total angle in degrees.

  2. Next, calculate the MOA.

    Calculate the minute of angle using the formula above.

FAQ

What is a MOA?

A minute of angle is described as 1/60th of a degree. This term is often used in fields such as shooting and archery.

What is spread?

Spread is the amount of vertical distance an angle causes at a certain horizontal distance. For example, 1 MOA at 100 yards is approximately 1″ of vertical spread, while at 200 yards it’s close to 2″ of vertical spread.