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Semi-Circle Area Calculator

Formula

The formula to calculate the area of a semi-circle is:

$\text{Area} = \pi \cdot r^2 \cdot \frac{a}{360}$

Where:

$r$ is the radius
$a$ is the arc angle or central angle

What is the Area of a Semi-Circle?

The area of a semi-circle is defined as the total area occupied by half of the area of the circle enclosed by the given radius. For a semi-circle, the arc angle is always 180 degrees.

Example Calculation

Let's assume the following values:

Radius (r): 10 units
Arc Angle (a): 180 degrees

Step 1: Calculate the Area of the Semi-Circle:

$\text{Area} = 3.141 \cdot 10^2 \cdot \frac{180}{360} = 3.141 \cdot 100 \cdot 0.5 = 157.05 \text{ square units}$

The area of the semi-circle is 157.05 square units.