Enter the radius into the calculator to determine the perimeter of the semicircle; this calculator can also evaluate the radius given the perimeter is known.
Semicircle Perimeter Formula
The following formula is used to calculate the perimeter of a semicircle:
P = π * r + 2 * r
Variables:
- P is the perimeter of the semicircle
- r is the radius of the semicircle
To calculate the perimeter of a semicircle, multiply the radius by π (pi) and add twice the radius to the result.
What is a Semicircle Perimeter?
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 2πr (where r is the radius of the circle). Since a semicircle is half of a circle, the formula becomes πr. However, this only accounts for the curved part of the semicircle. To get the total perimeter, we must add the length of the diameter, which is 2r. Therefore, the formula for the perimeter of a semicircle is πr + 2r.
How to Calculate Semicircle Perimeter?
The following steps outline how to calculate the Semicircle Perimeter.
- First, determine the radius of the semicircle (r).
- Next, calculate the circumference of the full circle using the formula C = 2πr.
- Then, divide the circumference by 2 to get the perimeter of the semicircle.
- Finally, calculate the Semicircle Perimeter.
- After inserting the radius and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
radius (r) = 5
