Therefore, the area of the circle is 140.4 square inches. Finally, you would divide 1,764 by 12.57 and get 140.4. Then, you would multiply 4 by π and get 12.57. For example, if the circumference is 42 inches, first you would square 42 and get 1,764. To find the area using the circumference, or the distance around the circle, use the formula area = c^2/4π, where c is the circumference. Therefore, the area of the circle is 314.16 inches squared. Then, plug the radius into the formula for finding area, area = πr^2. Area of a Circle Calculator>Area of a Circle.
#CIRCLE GEOMETRY CALCULATOR FREE#
For example, if the diameter is 20 inches, you would divide that in half and get 10 inches. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step. To find the area using the diameter, or the distance from one side of the circle to the other, first divide the diameter in half to find the radius. Therefore, the area of the circle is 113.04 inches squared. Then, you would multiply 36 by π and get 113.04. For example, if the radius of the circle is 6 inches, first you would square 6 and get 36. To find the area using the radius, or the length from the center of the circle to the edge, use the formula area = πr^2, where r is the radius. The number π has application in calculating important statistical distributions like the normal distribution (gaussian distribution).You can find the area of a circle using the radius, the diameter, or the circumference. The invention of the wheel-cart was one of the transforming events in early human history.
cylinders, tubes, gears, and others are used by engineers for making clocks, bikes, cars, trains, ships, planes, and even rockets. Practical applicationĬircles are often used by architects for athletic tracks, recreational areas, buildings, and roundabouts. The circumference is therefore 2 x 3.14159 x 8 = 50.26 feet. For example, if the diameter is 16 feet, then the radius is 16 / 2 = 8 feet. If the diameter is given instead, first divide it by two, then repeat the above process. For example, the circumference of a circle with a radius of 4 inches is simply 2 x 3.14159 x 4 = 25.13 inches. If the radius is given, applying the formula is straightforward. One needs to know just the radius or the diameter of a circle in order to calculate its circumference. If by moving the measurement instrument slightly you get a bigger diameter size, then go with that.Įxample: find the circumference of a circle To make sure you are measuring the diameter correctly, it should be the biggest measurement you can get.
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How to calculate the circumference of a circle?Ĭalculation is easy once you have measured the circle's radius or diameter, using the formulas above or, if you prefer the easier way - using our circumference of a circle calculator above. The calculation result is in the unit in which you measured the circle radius or diameter. If you know the diameter, it is 2 times the radius, so just divide by two, to get the radius, or use this formula: π x diameter. In practical situations it is often easier to measure the diameter instead of the radius. It was originally defined as the ratio of a circle's circumference to its diameter (see second formula below on why) and appears in many formulas in mathematics, physics, and everyday life. The circumference of a circle is calculated using the formula: 2 x π x radius, where π is a mathematical constant, equal to about 3.14159. Example: find the circumference of a circle.How to calculate the circumference of a circle?.
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