Area of a Semicircle Calculator

Use this free How to Find the Area of a Semicircle Calculator to solve any problem!

The following How to Find the Area of a Semicircle Calculator is an awesome math tool that you can use to instantly calculate the area of a semicircle when you know the length of its radius, r. The area of a semicircle calculator can be used to solve problems and to check your answers after making calculations on your own.

How to use the Area of a Semicircle Calculator: Simply enter the length of the radius of the semicircle and then press ENTER or DONE.

Using the How to Find the Area of a Semicircle Calculator

Our free area of a semicircle calculator is a handy tool for quickly calculating the area of a semicircle without having to remember a formula or do any calculations by hand. Instead of doing manual calculations that are consuming and prone to errors and mistakes, using the area of a semicircle calculator guarantees that your results will be immediate and correct.

Additionally, you can use the free area of a semicircle calculator after you have solved problems by hand as a means of checking your work to make sure that your manual calculations are correct.

What is the Area of a Semicircle formula?

Of course, the area of a semicircle calculator is only a tool and not a substitute for learning how to calculate the area of a semicircle without a calculator by using the area of a semicircle formula, A=(𝝅r^2)/2, where A represents the area of the semicircle and r is the length of its radius.

Since a semicircle is one half of a regular circle, it should make sense that the area formula of a semicircle is one half of the area formula of a regular circle, since a semicircle has half the area of a regular circle.

  • Area of a Circle: A=𝝅r^2 → Area of a Semicircle: A=𝝅r^2 ÷ 2

 
 

Practice Problem: Calculate the Area of a Semicircle

Example: Find the area of a semicircle with a radius of 8cm.

To use the area of a semicircle formula, you have to know the length of the semicircle’s radius, r, which the problem tells you is 8cm.

So, r=8

Next, you can substitute r=8 into the formula as follows:

  • A = (𝝅r^2)/2 → A = (𝝅 x 8^2)/2 → A = 64𝝅/2 → A = 32𝝅 → A ≈ 100.5

Therefore, the area of a semicircle with a radius of 8cm equals approximately 100.5 cm^2

You can check that this result is indeed correct by inputting r=8 into the How to Find the Area of a Semicircle Calculator above.

 
 

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