Semicircle Perimeter Calculator



Formula

To calculate the Perimeter of a Semicircle (P):

\[ P = \pi r + 2r \]

Where:

Semicircle Perimeter Definition

A semicircle perimeter refers to the boundary length of a semicircle, which is half of a full circle. The perimeter of a semicircle is not the same as the circumference of a full circle, as it includes the diameter of the circle as well. The formula to calculate the perimeter of a semicircle is derived from the formula of a full circle’s circumference, which is \(2\pi r\) (where \(r\) is the radius of the circle). Since a semicircle is half of a circle, the formula becomes \(\pi r\).

Example Calculation

Let's assume the following values:

Step 1: Use the semicircle perimeter formula:

\[ P = \pi r + 2r = \pi \times 5 + 2 \times 5 = 15.71 + 10 = 25.71 \text{ cm} \]

The Perimeter of the Semicircle is 25.71 cm.