In the lesson below, we will look at the different types of problems that use the circumference, including word problems. First, we will consider some mathematical examples where you are given the radius or the diameter and simply asked to find the circumference.
As with area questions, it is important to pay attention to which value you are given since this affects the calculation remember the diameter is always twice the radius. Remember that the radius of a circle is half the diameter.
These examples were the types you will see when you are first learning how to use this formula. But it is also possible to solve applied and other types of word problems using the circumference formula.
We will look at those next. To solve any type of applied problem in geometry, you must be able to identify the values you need to find and those you are given. This is based on your understanding of geometry ideas like area, perimeter, and volume — or really any idea — depending on the problem.
When it comes to circumference, that means understanding that it represents the distance around the circle. Pi is used by statisticians to track population dynamics and occurs in the tables of death. Since Pi is composed of billions and trillions of digits, every possible number we can think of is hidden somewhere in Pi.
It is amazing to think that any number for example our date of birth, phone number, or even bank account number can be found in Pi. The mathematical expression for the bell curve known as normal distribution has pi in it. Normal distribution is important in statistics. Many people have tried to learn the digits of Pi using mnemonic techniques. They decipher the digits into words using the same number of letters.
This novel involved communication with an extra-terrestrial life form, where Pi was used to decipher a message from them. Lu Chao from China holds the current Guinness World record for memorizing Pi upto 67, decimal places. It took nearly 10 hours for an Indian to successfully recite up to 70, digits of Pi in March Pi has been the source of inspiration behind many literary works including books, songs and poems.
Pi has been the source of inspiration for Hollywood director Darren Aronofsky. This movie had Pi as the centre of the plot. There is also a song inspired by the first hundred digits of Pi. This song was sung by Kate Bush in her album Aerial, which was released in Kate is known for her experimental music.
Nobel Prize winner Wislawa Szymborska wrote a poem about Pi. There is also a Pi symphony which you can listen to…. Anything which has a diameter and a circumference can have Pi applied to it. Pi can be found in the rainbow, in the moon, in the sun, in the pupil of the eye and even in a falling raindrop. We can also find this magical number in the sound of a pulsing heart or a planet orbiting a star. When people want to measure ripples emanating from a central point, they use pi.
It also appears in colors. Pi has been used to measure the sinuosity of rivers and the way a river meanders. If we measure the total length of any river in the world and divide by its straight route from its source to mouth, it averages to Pi. The reason is because this date roughly equals to 3.
People bake pies to commemorate this day and guess what Pi will help you determine the size of your pie. The presence of Pi can be felt in our day to day life. We will find Pi giving answers to some of our most daily questions like:. The first 10 digits of pi: 3. Many people believe that fashion is not for the geeks.
Although the perimeter of a circle has no straight lines, straight lines do play a part in calculations. A line between any point in the circle and the center point is called a radius.
The circumference of the circle is the perimeter of the circle. A rchitecture. Circles appear frequently in architecture around the world. Peter's Basilica in Vatican City are all examples of circles used in architecture. Architects also use circles as decorative features in their buildings.
For example, the library at Phillips Exeter Academy in New Hampshire has towering slabs of concrete with circles cut out to let viewers see the stacks of books on each floor. The Chartres Cathedral in France features a large circular-shaped window above the front door. S cience. One application of circles in science is in the design of particle separators. The Large Hadron Collider in Europe is a tunnel in the shape of a circle. This shape helps force the particles to move. This includes calculation trajectories, determining the size of distant planets, and measuring craters.
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