Use diameter to find circumference

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Use diameter to find circumference

Our website is made possible by displaying online advertisements to our visitors. Please consider supporting us by disabling your ad blocker. Related Tools User Guide This tool will calculate the circumference of a circle from the diameter, and will convert different measurement units for diameter and circumference. Formula The formula used to calculate circle circumference is: C = ? ? Symbols C = Circle circumference = Pi = 3.14159... ? = Circle diameter Diameter of Circle Enter the diameter of a circle. The diameter of a circle is the length of a straight line drawn between two points on a circle where the line also passes through the centre of a circle, or any two points on the circle as long as they are exactly 180 degrees apart. Circumference of Circle This is the total length of the edge around the circle with the specified diameter, if it was straightened out. 1 Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = d. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.[1] 2 Plug the given value of the diameter into the formula and solve.[2] Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug into your calculator for its numerical value, and solve for the circumference: C = d C = x 20 C = 62.8 feet 1 Write down the formula for finding the circumference of a circle using the radius. The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2r. In this formula, "r" represents the radius of the circle. Again, you can plug into your calculator to get its numeral value, which is a closer approximation of 3.14.[3] 2 Plug the given radius into the equation and solve. For this example, let's say you're cutting out a decorative strip of paper to wrap around the edge of a pie you've just made. The radius of the pie is 5 inches. To find the circumference that you need, just plug the radius into the equation:[4] C = 2r C = 2 x 5 C = 10 C = 31.4 inches Add New Question Question What's the difference between the circumference and the diameter? wikiHow Staff Editor Staff Answer This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness. The diameter is the length of a straight line drawn through the center of a circle from one side to the other. The circumference is the length all the way around the outside of the circle. Question What is the perimeter of a circle? wikiHow Staff Editor Staff Answer This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness. The perimeter of a circle is the same as its circumference, the distance around it. The term "perimeter" refers to the distance around any closed shape, and "circumference" applies specifically to a circle or arc. Question What is a circumference? Circumference is the distance around the perimeter of a circle. It is calculated by multiplying the distance across the center (diameter) by Pi (3.1416). Question If I know the radius of a circle, how I can find the circumference? Double the radius to get the diameter. Then multiply by pi to get the circumference. Question How do I find the radius when I get the circumference? The circumference = x the diameter of the circle (Pi multiplied by the diameter of the circle). Simply divide the circumference by and you will have the length of the diameter. The diameter is just the radius times two, so divide the diameter by two and you will have the radius of the circle! Question How can I find the diameter of the circle, once I know the circumference? Circumference (C) = pi * diameter(d). To get the diameter of a circle take the circumference (C) and divide it by pi (3.14). Question How do I find the area of a circle when only given the circumference? Divide the circumference by pi. That's the diameter. Divide by 2. That's the radius. Square the radius, and multiply by pi. That's the area. Question What is the formula used to calculate diameter? The diameter is twice the radius. The circumference is diameter x pi, or 2 x radius x pi. Question How do I change the mixed number into radius? If your radius is a mixed number, turn the number into an improper fraction. To do this, simply multiply the whole number part by the denominator and add that number to the numerator. The denominator should remain the same throughout the process. You can then use the improper fraction in your formula. Question What is the answer of the circumference of a circle? The answer depends on your number. For example, pie or 3.14 is multiplied with your number which is the diameter or radius. Show more answers Ask a Question Thanks! Thanks! Thanks! Thanks! wikiHow is a "wiki," similar to Wikipedia, which means that many of our articles are co-written by multiple authors. To create this article, 223 people, some anonymous, worked to edit and improve it over time. This article has been viewed 9,107,338 times. Co-authors: 223 Updated: April 8, 2021 Views: 9,107,338 Categories: Featured Articles | Geometry Print Send fan mail to authors Thanks to all authors for creating a page that has been read 9,107,338 times. If you need to solve some geometry exercises, this circumference calculator is the page for you. It is a tool specifically created to find the diameter, circumference and area of any circle. Read on to learn: What the definition of circumference is How to find the circumference of a circle How to convert circumference into diameter As is the case with all of our tools, the circumference calculator works in all directions - it is also a circumference to diameter calculator, and can be used to convert circumference to radius, circumference to area, radius to circumference, radius to diameter (duh!), radius to area, diameter to circumference, diameter to radius (yes, again with the rocket science), diameter to area, area to circumference, area to diameter or area to radius. If you want to draw a circle on the Cartesian plane, you might find this equation of a circle calculator useful. The circumference of a circle is the linear distance of a circle's edge. It is the same as the perimeter of a geometric figure, but the term 'perimeter' is used exclusively for polygons. Circumference is often misspelled as circumfrence. The following equation describes the relation between the circumference and the radius R of a circle: C = 2R Where is a constant approximately equal to 3.14159265... It is impossible to find the exact value of . It is an irrational number, so we typically use approximations such as 3.14 or 22/7. If you're interested in this topic, go ahead and take a look at the first million digits of ! A similarly simple formula determines the relationship between the area of a circle and its radius: A = * R? Determine the radius of a circle. Let's assume it's equal to 14 cm. Substitute this value to the formula for circumference: C = 2 * * R = 2 * * 14 = 87.9646 cm. You can also use it to find the area of a circle: A = * R? = * 14? = 615.752 cm?. Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm. Use our circumference calculator to find the radius when you only have the circumference or area of a circle. If you wish to calculate the properties of a three-dimensional solid, such as a sphere, cylinder or cone, it's best to use our volume calculator. You have probably noticed that, since diameter is twice the radius, the proportion between the circumference and the diameter is equal to : C/D = 2R / 2R = This proportion (circumference to diameter) is the definition of the constant pi. It is used in many areas, such as physics and mathematics. For example, you can find it in the centrifugal force calculator.FAQ To calculate the circumference, you need the radius of the circle: Multiply the radius by 2 to get the diameter. Multiply the result by , or 3.14 for an estimation. That's it; you found the circumference of the circle. Or you can use the circle's diameter: Multiply the diameter by , or 3.14. The result is the circle's circumference. The circumference of a circle is the linear distance of the circle's edge. It is equivalent to the perimeter of a geometric shape, although that term perimeter is only used for polygons. The first person to calculate the Earth's circumference was Eratosthenes, a Greek mathematician, in 240 B.C. He discovered that objects in a city on the Northern Tropic do not throw a shadow at noon on the summer solstice, but they do in a more northerly location. Knowing this, and the distance between the locations, he succeeded in calculating the Earth's circumference. If you want to find the diameter from the circumference of a circle, follow these steps: Divide the circumference by , or 3.14 for an estimation. And that's it; you have the circle's diameter. To find the area of a circle from the circumference, follow these steps: Divide the circumference by . Divide the result by 2 to get the circle's radius. Multiply the radius by itself to get its square. Multiply the square by , or 3.14 for an estimation. You found the circle's area from the circumference. To find the radius from the circumference of a circle, you have to do the following: Divide the circumference by , or 3.14 for an estimation. The result is the circle's diameter. Divide the diameter by 2. There you go, you found the circle's radius. How to measure the circumference? Calculate the circumference as 2 radius . Calculate the circumference as diameter . Wrap a string around the object and measure the length of it. Use Omni's circumference calculator. The formula for the circumference, if the circle's radius is given, is: Or if the circle's circumference is given: You can estimate as 3.14. To calculate the circumference of a circle with a radius of 1 meter, simply follow these steps: Multiply the radius by 2 to get the diameter of 2 meters. Multiply the result by , or 3.14 for an estimation. And there you go; the circumference of a circle with a radius of 1 meter is 6.28 meters. To find the circumference of a cylinder, you have to be aware that a cylinder's cross-section is a circle. If you know the cylinder's radius: Multiply the radius by 2 to get the diameter. Multiply the result by , or 3.14 for an estimation. That's it; you found the circumference of the cylinder. Or you can use the cylinder's diameter: Multiply the diameter by , or 3.14. The result is the cylinder's circumference. If you want to find the area of a circle with a circumference of 1 meter, do the following: Divide the circumference by . This is the circle's diameter, in this case, 31.8 centimeters. Divide by 2. This result is the circle's radius of 15.9 centimeters. Multiply the radius with itself, getting the square, in our case 256 cm?. Multiply by , or 3.14 for an estimation. That's it; a circle with a circumference of 1 meter has an area of 795.78 cm?. To find the radius of a circle with a circumference of 10 centimeters, you have to do the following: Divide the circumference by , or 3.14 for an estimation. The result is the circle's diameter, 3.18 centimeters. Divide the diameter by 2. And there you go, the radius of a circle with a circumference of 10 centimeters is 1.59 centimeters. Since a circle's circumference is the linear distance of the circle's edge, it describes a length. Therefore, the most common units of a circle's circumference are millimeter, centimeter, meter for the metric system, and inch, feet, and yard for the imperial system. where D is diameter, C is circumference, and (pi number), is the mathematical constant. The value of is approximately 3.141592653589793 fun stuff > what is pi? Page updated : 15 April 2018 People have know for a long time about the relationship between the circumference and diameter of a circle. They've know that if you take the diameter of a circle and multiply it by 3 and a bit you get the circumference. This 3 and a bit is Pi. What are diameter and circumference? This number, the 3 and a bit, is represented by the Greek letter Pi (pronounced pie). Mathematicians started using this symbol to represent Pi in the 1700s. You can see what pie looks like below. What does the symbol Pi look like? But 3 and a bit is not very accurate. Pi is approximately 3.14159. Even that is not accurate. How much is Pi exactly? Pi is an irrational number and this means the number of decimals after the point never ends. Modern computers have calculated the value of Pi to over a trillion decimal places and it appears the digits are randomly distributed. But the exact value of Pi is still not known. The first 500 digits of Pi: 3.141592653589793238462643383279502884197169 39937510582097494459230781640628620899862803 48253421170679821480865132823066470938446095 50582231725359408128481117450284102701938521 10555964462294895493038196442881097566593344 61284756482337867831652712019091456485669234 60348610454326648213393607260249141273724587 00660631558817488152092096282925409171536436 78925903600113305305488204665213841469519415 11609433057270365759591953092186117381932611 79310511854807446237996274956735188575272489 12279381830119491298336733624406566430860213 94946395224737190702179860943702770539217176 29317675238467481846766940513200056812714526 35608277857713427577896091736371787214684409 01224953430146549585371050792279689258923542 01995611212902196086403441815981362977477130 99605187072113499999983729780499510597317328 16096318595024459455346908302642522308253344 68503526193118817101000313783875288658753320 83814206171776691473035982534904287554687311 59562863882353787593751957781857780532171226 806613001927876611195909216420198 Ways of showing Pi Over the centuaries, different mathematicians suggested different ways of representing the value of Pi. Pi has been known for almost 4000 years. Ancient civilisations need Pi for building and other practical reasons. The Babylonians calculated the area of circle by squaring the radius and multiplying that by 3. That means they gave Pi a value of 3. The first person to calculate Pi was Archimedes (287 - 212 BC). He showed that Pi was between 3 1/7 and 3 10/71. Convert those fractions on your calculator to compare them to the first 500 digits above. A Chinese mathematician named Zu Chongzhi (429 - 501 AD) used the fraction 355/113. Even today, most calculations only need Pi to 40 places. Here are some old and new ways to show the value of Pi. Using Pi If you know the diameter of a circle, you can use Pi to calculate the circumference. First you'll need to find the Pi symbol on your calculator. If your calculator doesn't have a Pi key, then use the approximate value of Pi as 3.142 For you to try... Your grandmother has made a bottle of homemade jam. She'd like you to make a label for the bottle. If the bottle has a diameter of 5cm, how long will the label need to be? The moon has a diameter of 3480km. How long is it's circumference? A satellite orbits the earth (diameter 12640km). It completes one orbit in 24 hours. If it's speed is 2000km/hr, how far does it travel in one orbit? And how far from the earth is it? Answers: 1. 15.7cm 2. 10 932.74km 3. 48 000km ; 1 319km

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