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  1. Estimated Gestational Age

    Estimated Gestational Age: Mean Sac Diameter Calculator

    Gestational age in days = MSD + 30; divide by 7 for weeks. MSD is the mean of Length, Width and Height (mm)

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Mean Sac Diameter (MSD)
12
mm
Estimated Gestational Age 42 days
Gestational Age (weeks) 6 weeks
Approx. weeks + days 6w 0d

What Is Mean Sac Diameter (MSD)?

The Mean Sac Diameter (MSD) is an ultrasound measurement used in early pregnancy to assess the size of the gestational sac before an embryo or yolk sac is clearly visible. It is calculated by averaging three perpendicular dimensions of the sac — length, width, and height — measured in millimetres. This calculator also provides a rough estimate of gestational age. Note: this tool is for educational purposes only and is not a substitute for professional medical assessment.

Ultrasound gestational sac with three orthogonal measurement axes labeled L, W, H
Mean sac diameter is averaged from three perpendicular measurements of the gestational sac: length, width and height.

How to Use This Calculator

Enter the three orthogonal sac measurements (length, width, and height) in millimetres taken from the ultrasound report. The calculator averages them to give the MSD, then estimates gestational age in days and weeks. Compare the result with your sonographer's report.

The Formula Explained

The MSD is simply the arithmetic mean of the three dimensions:

$$\text{MSD} = \frac{\text{Length} + \text{Width} + \text{Height}}{3}$$

A widely cited early approximation for gestational age (most accurate before about 6 weeks) adds 30 days to the MSD in millimetres:

$$\text{Gestational Age (days)} \approx \text{MSD (mm)} + 30$$

Dividing by 7 converts days into weeks.

Diagram showing average of three sac dimensions equaling mean sac diameter
The three dimensions are added and divided by three to give the MSD.

Worked Example

Suppose the gestational sac measures 10 mm × 12 mm × 14 mm. The MSD is $$\text{MSD} = \frac{10 + 12 + 14}{3} = \frac{36}{3} = 12 \text{ mm}$$ The estimated gestational age is \(12 + 30 = 42\) days, or \(42 / 7 = 6\) weeks exactly.

FAQ

How accurate is the gestational age estimate? The "MSD + 30 days" rule is a quick approximation that works reasonably well in the very early weeks but becomes less reliable as pregnancy progresses; crown-rump length is preferred once the embryo is visible.

What is a normal MSD? A gestational sac is usually first seen around 2–3 mm and grows roughly 1 mm per day. Your clinician interprets the value in context.

Why average three measurements? The sac is not perfectly spherical, so averaging three perpendicular axes gives a representative single diameter.

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