How To Find The Area Of A Semicircle Formula

With this semicircle area calculator, yous tin speedily find the area of one-half of a circle. What is more, the tool also doubles as a semicircle perimeter estimator, so inputting radius or bore volition assistance you observe the basic features of the shape in the blink of an eye. In the article beneath, we provide the semicircle definition and explain how to find the perimeter and surface area of a semicircle. So what are yous waiting for? Scroll down!

Notwithstanding, if yous're searching for a moment of inertia of a semicircle, check out our comprehensive moment of inertia tool.

What is a semicircle? Semicircle definition

A semicircle is simply half of a circumvolve 🌗. When you cutting a circle forth a bore line - or, in other words, through the circumvolve centre - you'll get a semicircle. The prefix semi- comes from Latin, and it ways half or partly (like in words such every bit semi-permanent, semi-formal, semifinals). Now, when you know etymology, y'all won't forget what a semicircle is: only remind yourself how the semifinals are connected with the finals, and you'll know how to link a semicircle to a circumvolve.

How to find the surface area of a semicircle? Semicircle expanse formula

Knowing the semicircle definition - half of a circle - we can easily write the semicircle area formula using the well-known circle area, πr² :

Area_semicircle = Area_circle / ii = πr² / 2

The area of a semicircle is merely a half of the area of a total circumvolve. Merely can we use this rule for the circumference of a semicircle?

Perimeter of a semicircle formula (aka circumference of a semicircle)

Image explaining how to find semicircle perimeter - half of the circle circumference + diameter

If you want to calculate the outer boundary of a semicircle - the circumference or perimeter of a semicircle - you need to exist careful to not fall into whatsoever traps. The circumference of a semicircle is not equal to one-half of the circle circumference - you need to add also the diameter of the semicircle, as another boundary was created:

Perimeter_semicircle = (circumference_circle / 2) + 2 * radius

Perimeter_semicircle = π * r + two * r = r * (π + 2)

Perimeter_semicircle = π * r + d, where d is the semicircle diameter

Discover the area of a half circle with semicircle expanse figurer

Where practise nosotros find semicircular objects in everyday life? The shape of half circle occurs in:

abode furniture and decorations such as mirrors, tables with semicircular counters, sofas, benches, rugs, or even windows.
everyday objects similar fans, protractors, circle skirts.
all food which comes in round, cylindrical, or sphere shapes could likewise exist sliced to approximate semicircles. Similar for example one-half a pizza, a slice of watermelon 🍉 or half a cookie 🍪

Allow's figure out how to find an area of a semicircular object - a carpeting which would fit perfectly in front of your fireplace🔥:

Input the diameter or radius of the carpeting. Assume that our fireplace is 4 ft wide, so nosotros'd like to have the same rug length. Enter 4 ft in the diameter box. Alter the length units past clicking on the unit name and selecting the 1 yous need from the drop-down listing.
The semicircle area calculator displays the area of one-half-circle: for our rug, it'south 6.28 ft².
The tool works as semicircle perimeter calculator also - east.chiliad., if you want to braid the rug, you can calculate how much lace yous'll demand. In our case, the perimeter equals x.28 ft.

Now every bit yous know everything about semicircles, maybe you'd like to check our other circle-related calculators 🔴?