Top 3 Easy Way to Find Diameter from Circumference
- Author: Noreen Niazi
- Last Updated on: December 15, 2023
Need to find diameter from circumference of a circle? This guide provides a simple formula and step-by-step instructions to make it easy!
Do you participate in any engineering or woodworking groups? You must figure out the circle’s diameter. But do you know how to quickly determine a circle’s diameter?
This article is for you if you’re looking for a straightforward answer. Here, we’ll go through the top three simple methods for determining a circle’s diameter from its circumference.
What is the diameter of the circle?
A line segment or chord that traverses a circle’s centre and reaches the circle’s edges twice is said to have a diameter if its length.
What is meant by the circumference of a circle?
The circumference of a circle is the length of all the boundaries of a circle.
The circumference of a circle refers to the length of its boundary or the distance around the circle. It is the measure of the total distance covered by a point on the edge of the circle as it completes one complete revolution around the center of the circle.
In simpler terms, it is the distance around the circle. The formula to calculate the circumference of a circle is: $$Circumference = 2πr$$, where r is the radius of the circle, and π (pi) is a constant and its approximate vale is 3.14159.
What is the relationship between diameter and circumference?
Let’s examine the link between diameter and circumference before delving into the intricacies of challenges involving diameter determination.
The diameter is the length of the line segment that encircles the circle’s center, whereas the circumference is the distance around the circle’s outside.
They are similar in that their circumferences are roughly 3.14 times their diameters, or pi times the diameters ($$πd$$). This relationship between diameter and circumference helps us to solve circumference and diameter problems.
What is the formula to find diameter from the circumference?
To find diameter from circumference of a circle, you can use the formula:
$$diameter = \frac{circumference}{\pi} $$
You can easily calculate the diameter by dividing the circumference by pi (3.14).
For instance, what is the diameter of a circle if its circumference is 20 inches?
Solution: If a circle has a diameter of $$6.37$$ inches (rounded to two decimal places), then its circumference would be $$20$$ inches.
This formula can be used to solve math problems and determine the size of a circular object, among other things.
Plug in the numbers and solve for diameter.
Once you have the circle’s circumference, you can easily find the diameter using the formula.
$$diameter = \frac{circumference}{\pi} $$
Simply plug in the numbers and solve for diameter.
For example, if the circumference of a circle is $$30$$ meters, the diameter would be $$30 / 3.14 = 9.55$$ meters (rounded to two decimal places). This formula can be used for any circle, whether you’re measuring the size of a tire or solving a geometry problem.
Check your work with a calculator or online tool.
After using the formula to find diameter from circumference, double-checking your work with a calculator or online tool is always a good idea. This can help you avoid any calculation mistakes and ensure you have the correct answer. Many free online calculators are available that can help you quickly and easily find the diameter from the circumference of a circle. Simply input the circumference, and the calculator will do the rest for you!
What are the tools or online calculator to find diameter from circumference?
There are several online calculators and tools available to find diameter from circumference of a circle. Some of the popular ones include:
- Calculator.net: This website offers a free circumference to diameter calculator that allows you to enter the circumference of a circle in any unit of measurement and get the diameter in the same unit.
- Omni Calculator: This website offers a circumference to diameter calculator that not only calculates the diameter but also the radius, area, and perimeter of the circle.
- RapidTables: This website has a circumference to diameter calculator that supports various units of measurement, including millimeters, centimeters, inches, feet, yards, and meters.
To use any of these tools, you need to input the value of the circumference of the circle, and then the calculator will automatically calculate the diameter of the circle for you. For example, if the circumference of a circle is 10 cm, the diameter would be calculated to be approximately 3.183 cm using any of the above-mentioned calculators.
Use the diameter to make calculations or measurements.
Once you have found the diameter from circumference of a circle, you can use it to make various calculations or measurements.
For example, you can use the diameter to find the area or circumference of the circle. You can also use it to determine the size of a circular object, such as a pipe or tire. Knowing the diameter can be helpful in many different fields, including engineering, construction, and manufacturing.
How to Find Diameter from Circumference
All you have to do is divide the circumference by pi to get the diameter from the circumference ($$d = \frac{C}{π}$$).
Question: If the circumference of a circle is $$20 cm$$, find the diameter.
Solution: If the circumference of a circle is $$20 cm$$, then to find diameter from circumference.
- Put the value in the formula $$d = \frac{C}{π}$$
- The diameter would be $$\frac{20}{\pi}cm$$ , which is approximately $$6.37 cm$$.
How to Find Circumference from Diameter
To find the circumference from the diameter, all you need to do is multiply the diameter by pi.
$$C = πd$$
For instance, if the diameter of a circle is $$10 cm$$, then the circumference would be $$10π cm$$, which is approximately $$31.42cm$$.
Circumference and Diameter Examples
Circumference and diameter are two important measurements used in geometry. They get more popular especially when calculating the size and shape of circles. As we know that Circumference is the distance around the edge of a circle, while the diameter can be found by calculating distance across the center of the circle.
Here are some examples of circumference and diameter in real-life situations:
- The wheel of a car: You can find the size of wheel with the help o diameter. While to find total distance cover in one revolution, we need to calculate circumference.
- A pizza: Do you want to know the number of crust in pizza, finds its circumference. If you want to get a specific size pizza, then diameter helps you in finding size of pizza.
- Round tables: Do you have to arrange an event and you need to know how many people can be comfortably seated around it, calculate its circumference. To determine the size of the table we can take the help of diameter formula of circle..
In summary, the circumference and diameter are important measurements in geometry, and they can be used in various real-life situations to determine size, distance, and other related factors.
Let’s look at some examples to understand better how to find diameter from circumference.
1
Find the diameter of a circle with a circumference of 25 cm.
Answer: To calculate the diameter plug-in the value in the formula.
$$d = \frac{C}{π}$$
$$d = \frac{25}{π}$$
$$d = 7.96 cm$$ (rounded to two decimal places)
2
Find the diameter of a circle with a circumference of 40 m.
Answer: To calculate the diameter plug-in the value in the formula.
$$d = \frac{C}{π}$$
$$d = \frac{40}{π}$$
$$d = 12.73 m$$ (rounded to two decimal places)
Circumference and Diameter FAQs
1
What distinguishes a circle's circumference from its diameter?
As opposed to the diameter, which is measured across a circle through its centre, the circumference is the distance a circle’s outer edge.
2
What is the formula for finding the circumference of a circle?
You can find the circumference of circle by using the formula for the circumference of a circle $$C = 2πr$$, where C is the circumference, $$π$$ is a mathematical constant that approximates $$3.14$$, and $$r$$ is the radius of the circle.
3
How do I find the diameter from the circumference?
You can calculate the diameter from the circle by to dividing the circumference by $$\pi$$
$$d=\frac{C}{π} $$
Circumference and Diameter Tools: Circumference Calculator and Diameter Calculator
Nowdue to the smartest Technolgy, mostly people find online tools to solve math problems quickly. Similarly, to find diameter and circumference there are different online tools. You can use online tools such as the circumference calculator and diameter calculator to make your calculations easier.
You can quickly and precisely determine a circle’s circumference and diameter with the aid of these online calculators.
Circumference Calculator is a tool that helps to calculate the circumference of a circular object. You ust need to enter radius of the circle, and it will automatically calculate the circumference of the circle.
For example, if a circle has a radius of 5 cm, the circumference calculator will provide a result of around 31.4 cm.
Diameter Calculator, On the other hand, a diameter calculator is your best option if you want to determine the distance across the widest point of a circular item. Simply enter the circle’s radius or circumference, and the diameter will be determined automatically.
For example, if a circle has a circumference of 20 cm, the diameter calculator will provide a result of around 6.37 cm.
You can take help from various online calculator and tools. But some of the best tools to calculate circumference and diameter are Wolfram Alpha, Calculator.net, and Omni Calculator. All of these tools make it easy to quickly and accurately calculate the circumference or diameter of a circle.
Conclusion
In conclusion, the relationship between the circumference and diameter of a circle is simple, yet it is fundamental to many mathematical calculations. By understanding how to find diameter from circumference, you can solve a wide range of math problems. So, go ahead, practice your calculations, and master the circumference-diameter relationship.