Flag Calculator | USA
Created by Kaushik RabadiyaLast updated: September 24, 2026Flag instantly calculates results using myef, mygh, mylength. Use the calculator above for instant answers in your browser.
Welcome to the ultimate US Flag Calculator, designed to help vexillologists, manufacturers, historians, and patriotic citizens compute the exact official proportions of the United States flag. By inputting a single base measurement, this tool effortlessly generates all statutory dimensions—including hoist, fly, union size, stripe width, and star diameter—guaranteeing adherence to federal specifications.
How the US Flag Calculations Work
The construction of the official United States flag is governed by Executive Order 10834, which sets precise geometric ratios relative to the hoist (width), designated here as x. Using this base variable, our calculator applies the standard federal formulas: the length (myLength) is calculated as 1.9 times the width (x), the union width (myUnionWidth) is 0.5385 times x, and the union length (myUnionLength) is 0.76 times x. Additionally, individual stripe widths (myStripeWidth) are established at 1/13th of the hoist, translating to 0.0769 times x, while star diameters (myStarDiameter) scale proportionally at 0.0616 times x to ensure visual harmony across the entire banner.
Worked Calculation Example
Let us walk through a practical calculation using a standard flag width (x) of 10 feet (120 inches). First, we determine the fly length: myLength = 1.9 x 10 = 19 feet. Next, we find the dimensions of the blue union (canton): myUnionWidth = 0.5385 x 10 = 5.385 feet, and myUnionLength = 0.76 x 10 = 7.6 feet. For the vertical elements, each of the 13 stripes is evaluated as myStripeWidth = 0.0769 x 10 = 0.769 feet (approx. 9.23 inches). Finally, the diameter of each white star is computed as myStarDiameter = 0.0616 x 10 = 0.616 feet (approx. 7.39 inches), ensuring absolute compliance with federal design mandates.
Best Practices for Flag Construction and Display
When manufacturing or displaying a United States flag, always maintain the official 10:19 aspect ratio to preserve its traditional appearance. Ensure that the union rests in the upper left corner when viewed from the front, and use durable, weather-resistant outdoor fabrics like nylon or heavy-duty polyester if the flag will be exposed to severe weather elements.
FAQs
What is the aspect ratio of the American flag?
The official aspect ratio of the United States flag is 10 to 19. This means that for every 10 units of vertical width (hoist), the flag must measure 19 units in horizontal length (fly). This specific proportion ensures the flag maintains a balanced, classic rectangular appearance whether displayed vertically or horizontally.
When was the current American flag adopted?
The current 50-star American flag was officially adopted on July 4, 1960. Following the admission of Hawaii as the 50th U.S. state on August 21, 1959, executive order mandated a new star arrangement featuring nine alternating rows of six and five stars, which officially flew for the first time the following Independence Day.
How many stars and stripes does the American flag have?
The United States flag features exactly 50 white stars, representing the 50 individual states of the union, arranged in a canton against a blue background. It also contains 13 horizontal stripes—seven red and six white—which symbolize the original thirteen British colonies that declared independence from Great Britain.
What do the stripes on the American flag denote?
The 13 alternating red and white stripes pay direct homage to the original thirteen colonies that formed the United States. Specifically, the red stripes symbolize hardiness and valor, while the white stripes represent purity and innocence. The outermost top and bottom stripes of the banner are always red.
Formula verified against Peer-reviewed references — all calculations use deterministic, standards-based formulas.
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