How To Find The Perimeter Of A Semi Circle

The continuous closed line that makes the boundary of a two-dimensional shape is known as the perimeter. It's easy to work out the perimeter of a shape with straight edges, such as a square, because you simply add the lengths of each edge together. A different formula is required to work out the perimeter of a semi circle (a circle cut in half), because it consists of a curved edge as well as a straight edge. That formula is

\(P = \frac{1}{2} πd + d\)

where ​d​ is the diameter of the semi circle.

1. Remember Pi Constant

Apply the number pi (π) to the formula

\(P = \frac{1}{2} πd + d\)

Pi is a circle's circumference divided by its diameter and is always the same value, 3.14.

2. Note the Diameter

To find the perimeter of a semi circle, you have to know the diameter (the length of its straight edge). For example, if the diameter of your semi circle is 12 centimeters, the formula becomes

\(P = \frac{1}{2} ×(3.14×12) + 12\)

3. Break Down the Equation

Work out

\(3.14 × 12 = 37.68\)

Then work out

\(37.68 ÷ 2 = 18.84\)

You now have the perimeter of the curved edge of the semi circle. But a semi circle also has a straight edge, which is why you have to add the length of the diameter to calculate the whole perimeter. In this case, work out

\(18.84 + 12 = 30.84\)

The perimeter of your semi circle is 30.84 centimeters.