#:.color(blue)( " Circumference " = pi d = pi * 6 = 6pi cm ~~ 18.85 cm # Show
Explanation:#color(crimson)("Circumference " = 2 pi r = pi d# #"Given : Diameter " d = 6 cm# #:.color(blue)( " Circumference " = pi d = pi * 6 = 6pi cm # The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle. A person walking across a circular park, or a circular table to be bordered requires this metric of the circumference of a circle. The circumference is a linear value and its units are the same as the units of length. A circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center. The two important metrics of a circle is the area of a circle and the circumference of a circle. Here we shall aim at understanding the formula and calculation of the circumference of a circle. What is Circumference of a Circle?The circumference of a circle is its boundary or the length of the complete arc of a circle. Let us understand this concept using an example. Consider a circular park shown below.  If a boy starts running from point 'A' and reaches the same point after taking one complete round of the park, a distance is covered by him. This distance or boundary is called the circumference of the park which is in the shape of a circle. The circumference is the length of the boundary. Circumference of a Circle DefinitionThe circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line, we get the circumference of the circle in terms of units of length like centimeters, meters, or kilometers. Now let us learn about the elements that make up circumference. These are the three most important elements of a circle.
Circumference of Circle FormulaThe formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr. While using this circumference formula, if we do not have the value of the radius, we can find it using the diameter. That is, if the diameter is known, it can be divided by 2 to obtain the value of the radius because of the diameter of a circle = 2 × radius. Another way to calculate the circumference of a circle is by using the formula: Circumference = π × Diameter. If we need to calculate the radius or diameter, when the circumference of a circle is given, we use the formula: Radius = Circumference/2π How to Find the Circumference of Circle?Although the circumference of a circle is the length of its boundary, it cannot be calculated with the help of a ruler (scale) like it is usually done for other polygons. This is because a circle is a curved figure. Therefore, to calculate the circumference of a circle, we apply a formula that uses the radius or the diameter of the circle and the value of Pi (π). Pi is a special mathematical constant with a value approximated to 3.14159 or π = 22/7. The value of π = 22/7 is used in various formulas. It is the ratio of circumference to diameter, where C = πD. Let us consider a practical illustration to understand how to calculate the circumference of a circle with the help of the circumference formula. Example: If the radius of the circle is 25 units, find the circumference of the circle. (Take π = 3.14) Solution: Given, radius = 25 units Circumference to DiameterThe circumference to diameter of a circle is a ratio used to define the standard definition of Pi (π). If you know the diameter 'd' of a circle, then you can easily find the circumference C using the relation: C = πd. So, when the circumference C is placed in a ratio with the diameter d, the answer we get is π. Important Notes on Circumference of a Circle
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FAQs on Circumference of CircleWhat is the Circumference of a Circle in Geometry?The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle. The circumference of the circle is the product of π (pi) and the diameter of the circle. The circumference of a circle is a linear quantity that has the same units of length. How to Find the Circumference of a Circle?The circumference of a circle is calculated with the help of the circumference formula that needs the value of the radius of the circle and the value of π (pi). Circumference of a circle = 2πr, where, 'r' is the radius of the circle and π(pi) is a special mathematical constant with a value approximated to 3.14159 or π = 22/7. How to Find the Diameter From the Circumference of a Circle?If we need to calculate the diameter when the circumference of a circle is given, we use the formula: Circumference = π × Diameter, or, Diameter = Circumference/π How to Find the Circumference of the Circle with the Area?The circumference of a circle can be calculated if the area of the circle is given. Using the formula for the area of a circle the radius can be calculated. Once the radius is known, the circumference can be calculated. Area of circle = πr2, \(radius = \sqrt{\frac{A}{\pi}}\), and C = 2πr = 2\(\pi\sqrt{\frac{A}{\pi}}\). What is the Unit of the Circumference of a Circle?The circumference of the circle is a one-dimensional linear quantity and the unit of the circumference of a circle is expressed in m, inch, cm, feet, and so on. The circumference of a circle is related to other linear quantities such as the radius and diameter of the circle. What is the Perimeter of the Circle?The perimeter of a circle is the same as the circumference of a circle. It is the total length of the outer boundary of the circle. The perimeter or circumference of a circle is the product of the constant 'pi' and the diameter of the circle. It is expressed in linear units like m, inch, cms, feet. What is the Value of Pi?Pi is a constant value used for the measurement of the area and circumference of a circle or other circular figures. The symbol of pi is π and its numeric value is equal to 22/7 or 3.14. Further, these numeric values are used based on the context of the equation. What is the Difference Between the Diameter and the Circumference of a Circle?The diameter of the circle is the longest chord that passes through the center of the circle. The circumference of the circle is the length of the outer boundary of the circle. Both the diameter and the circumference are lengths and are expressed in linear units. The circumference of the circle is equal to the product of the diameter and the constant π (pi). How to Find the Circumference of a Circle with Diameter?The circumference of the circle can be calculated if the diameter is known because the relationship between the circumference and diameter of the circle is expressed as, Circumference = π × Diameter, or, diameter = Circumference/π. How do you get the circumference of a circle with the diameter?To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
What is the circumference of a 40 diameter circle?What is the circumference? Write your answer using pi. I know the answer is 125.6, but I don't have an idea of how to write it using pi.
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How to find circumference of a circle with diameter
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