Us Flag Dimension Calculator

US Flag Dimension Calculator

Hoist (Width) of Flag (A): Enter the desired hoist (width) of the flag. All other dimensions will be calculated in the same unit.

Calculated US Flag Dimensions

Fly (Length) of Flag (B):

Hoist of Canton (Union) (C):

Fly of Canton (Union) (D):

Diameter of Star (E):

Width of Stripe (F):

function calculateFlagDimensions() { var flagHoistInput = document.getElementById("flagHoist").value; var A = parseFloat(flagHoistInput); if (isNaN(A) || A <= 0) { alert("Please enter a valid positive number for the Hoist (Width) of the Flag."); document.getElementById("resultB").innerHTML = "Fly (Length) of Flag (B): Invalid Input"; document.getElementById("resultC").innerHTML = "Hoist of Canton (Union) (C): Invalid Input"; document.getElementById("resultD").innerHTML = "Fly of Canton (Union) (D): Invalid Input"; document.getElementById("resultE").innerHTML = "Diameter of Star (E): Invalid Input"; document.getElementById("resultF").innerHTML = "Width of Stripe (F): Invalid Input"; return; } // Official US Flag Ratios based on Executive Order 10834 // A = Hoist (width) of flag (input) // B = Fly (length) of flag = 1.9 x A // C = Hoist of canton (union) = 7/13 x A // D = Fly of canton (union) = 0.76 x A // E = Diameter of star = 0.0616 x A // F = Width of stripe = 1/13 x A var B = A * 1.9; var C = A * (7 / 13); var D = A * 0.76; var E = A * 0.0616; var F = A * (1 / 13); document.getElementById("resultB").innerHTML = "Fly (Length) of Flag (B): " + B.toFixed(4); document.getElementById("resultC").innerHTML = "Hoist of Canton (Union) (C): " + C.toFixed(4); document.getElementById("resultD").innerHTML = "Fly of Canton (Union) (D): " + D.toFixed(4); document.getElementById("resultE").innerHTML = "Diameter of Star (E): " + E.toFixed(4); document.getElementById("resultF").innerHTML = "Width of Stripe (F): " + F.toFixed(4); } // Calculate on page load with default value window.onload = calculateFlagDimensions;

Understanding US Flag Dimensions

The United States flag, often called "Old Glory" or "The Stars and Stripes," is a powerful symbol of American identity and history. While its design of thirteen stripes and fifty stars is universally recognized, the precise dimensions and proportions are officially defined to ensure consistency and respect for the national emblem. This calculator helps you determine these exact measurements based on a single input: the flag's hoist (width).

The Official Proportions

The official specifications for the US flag's dimensions are laid out in Executive Order 10834, signed by President Dwight D. Eisenhower on August 21, 1959. These proportions are based on a set of ratios, where the hoist (width) of the flag is considered the base unit (A = 1.0). All other dimensions are then derived from this base.

Here are the key dimensions and their official ratios:

A (Hoist of Flag): The width of the flag. This is your primary input.
B (Fly of Flag): The length of the flag. The ratio is 1.9 times A.
C (Hoist of Canton): The width (height) of the blue field (union) containing the stars. The ratio is 7/13 times A (corresponding to the height of seven stripes).
D (Fly of Canton): The length of the blue field (union). The ratio is 0.76 times A.
E (Diameter of Star): The diameter of each star. The ratio is 0.0616 times A.
F (Width of Stripe): The width of each of the thirteen stripes. The ratio is 1/13 times A.

How to Use the US Flag Dimension Calculator

Our US Flag Dimension Calculator simplifies the process of determining these precise measurements. Follow these steps:

Enter Hoist (Width) of Flag (A): Input the desired width of your flag into the designated field. You can use any unit of measurement (e.g., inches, feet, centimeters, meters); the calculator will output all other dimensions in the same unit.
Click "Calculate Dimensions": Press the button to instantly see the calculated values.
View Results: The calculator will display the Fly (Length) of the Flag, Hoist and Fly of the Canton, Diameter of the Stars, and the Width of each Stripe, all precisely calculated according to official US flag proportions.

Example Calculation

Let's say you want to make or purchase a US flag with a hoist (width) of 36 inches.

Input (A): 36 inches
Fly (B): 36 * 1.9 = 68.4 inches
Hoist of Canton (C): 36 * (7/13) ≈ 19.3846 inches
Fly of Canton (D): 36 * 0.76 = 27.36 inches
Diameter of Star (E): 36 * 0.0616 ≈ 2.2176 inches
Width of Stripe (F): 36 * (1/13) ≈ 2.7692 inches

Using this calculator ensures that your flag adheres to the exact, legally defined proportions, honoring its design and significance.