Area of Rectangle given Length and Diameter of Circumcircle Calculator

Formula

The formula to calculate the Area of Rectangle (A) is:

\[ A = l \cdot \sqrt{Dc^2 - l^2} \]

Where:

\(A\) is the Area of Rectangle (measured in square meters).
\(l\) is the Length of Rectangle (measured in meters).
\(Dc\) is the Diameter of Circumcircle of Rectangle (measured in meters).

Definition

Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

Diameter of Circumcircle of Rectangle is the diameter of the circle which contains the Rectangle with all the vertices of Rectangle lying on the circle.

How to calculate Area of Rectangle

Let's assume the following values:

Length of Rectangle (l) = 8 meters
Diameter of Circumcircle of Rectangle (Dc) = 10 meters

Using the formula:

\[ A = 8 \cdot \sqrt{10^2 - 8^2} \]

Evaluating:

\[ A \approx 48 \, \text{square meters} \]

The Area of Rectangle is approximately 48 square meters.

Conversion Chart

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Length (l) (meters)	Diameter (Dc) (meters)	Area (A) (square meters)