How to Deduce Circumference of Circle
The circumference of a circle is the distance all the way around a circle. If you measure the circumference and divide it by the circle's diameter (the distance across the center of the circle, from one side to another), you will always get a constant called "pi." Pi is often written as "π" and is equal to approximately 3.14. You can use this special relationship to deduce the circumference of a circle by using the formula C=πd. C is the circumference, d is the diameter and π is pi. You may also be given the radius (half of the diameter) in a word problem.
Instructions
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1
Read the question carefully to make sure you understand if you are being given the radius or diameter. For example, in the question, "Find the circumference of a circle if the radius is 10cm," you are given the radius, not the diameter.
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Multiply the radius by 2 to get the diameter. For example, using the above example:
2 * 10 cm radius = 20 cm diameter.
If you are given the diameter in the question, do not multiply by two. Just skip to Step 3. -
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Multiply the diameter by pi (3.14). For example:
20 cm * 3.14 = 62.8 cm: the circumference.
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Tips & Warnings
The value of pi has more than a trillion decimal places. For most problems, two decimal places (3.14) will give you a reasonable answer. Teachers may want you to be more accurate with your answer, so check with them about how many decimal places they want you to compute.
- Photo Credit circle circle image by Yurok Aleksandrovich from Fotolia.com