The image above is a circle. To calculate the perimeter or circumference of a circle, one essential parameter is needed and this parameter is the radius of a circle (r). You can also use the diameter of a circle to compute the area of a circle (d).
The formula for calculating the perimeter or circumference of a circle is:
P = 2Ï€r
Where:
P = Perimeter or Circumference of a circle
r = Radius of a circle
Let’s solve an example:
Find the perimeter or circumference of a circle where the radius of a circle is 8 cm.
This implies that;
r = Radius of a circle = 8 cm
P = 2Ï€r
P = 2 x 3.142 x 8
That is, P = 50.265
Therefore, the perimeter or circumference of a circle is 50.265 cm.
Calculating the Area of a Circle using the Diameter of a Circle.
The formula is P = πd
Where:
P = Perimeter or Circumference of a circle
d = Diameter of a circle
Let’s solve an example:
Find the perimeter or circumference of a circle where the diameter of a circle is 10 cm.
This implies that;
d = Diameter of a circle = 10 cm
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P = πd
P = 3.142 x 10
So, P = 31.42
Therefore, the perimeter or circumference of a circle with diameter is 31.42 cm.
How to Calculate Radius of a Circle when Perimeter or Circumference of the Circle is Given
r = P / 2Ï€
where;
r = Radius of a circle
P = Perimeter or Circumference of a circle
Let’s solve an example:
Find the radius of a circle where the perimeter or circumference of the circle is 16 cm.
This implies that;
P = Perimeter or Circumference of the circle = 16 cm
r = P / 2Ï€
r = 16 / 6.284
Then, r = 2.55
Therefore, the radius of the circle is 2.55 cm.
How to Calculate Diameter of a Circle when Perimeter or Circumference of the Circle is Given
d = P / π
where;
d = Diameter of a circle
P = Perimeter or Circumference of a circle
Let’s solve an example;
Find the diameter of a circle where the perimeter or circumference of the circle is 20 cm
This implies that;
P = Perimeter or Circumference of the circle = 20 cm
d = P / π
d = 20 / π
So, d = 6.365
Therefore, the diameter of the circle is 6.365 cm.
How to Calculate and Solve for the Perimeter or Circumference, Radius and Diameter of a Circle Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the perimeter or circumference of a circle.
To get the answer and workings of the perimeter or circumference of a circle using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Mensuration under the Mathematics section
Now, click on Perimeter of a Circle under Mensuration
The screenshot below displays the page or activity to enter your value, to get the answer for the perimeter or circumference of a circle according to the respective parameter which is the radius of the circle (r).
Now, enter the value appropriately and accordingly for the parameter as required by the example above where the radius of the circle is 8 cm.
Finally, click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the perimeter or circumference of a circle and presents the formula, workings and steps too.
