Q&A for How to Find the Circumference of a Circle Using Its Area

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  • Question
    Can I have an explanation of how to find circumference of a circle using area?
    Donagan
    Top Answerer
    As explained above: (1) Divide the area by 3.14 (pi). (2) Find the square root of that number. That is the radius. (3) Multiply by 6.28 (twice pi). That's the circumference.
  • Question
    I still didn't get it. Could you give a better explanation?
    Donagan
    Top Answerer
    You're given the area. Divide by pi (3.14). That gives you the square of the radius. Find the square root. That's the radius. Double it. That's the diameter. Multiply by pi (3.14). That's the circumference.
  • Question
    How do I find the square root?
    Donagan
    Top Answerer
    Use a calculator, if that's not prohibited. Otherwise, see the wikiHow article Calculate a Square Root by Hand .
  • Question
    How do I find the radius using the circumference?
    Donagan
    Top Answerer
    Divide the circumference by pi (3.14). That gives you the diameter. Divide by 2. That's the radius.
  • Question
    A circular wall clock with a circumference of 88 cm is mounted on a wall. How much area of the wall did it occupy, using pi = 22/7?
    Donagan
    Top Answerer
    You're trying to find the area of the circle. Divide the circumference by pi. 88 / (22/7) = (88)(7/22) = (4)(7) = 28. That's the diameter. Half the diameter is 14. That's the radius. Square the radius. That's 196. Multiply by pi to get the area: (196)(22/7) = 4312 / 7 = 616 square centimeters. That's the area.
  • Question
    How do I find area of a circle?
    Community Answer
    First you have to know the radius. Square the radius, then multiply by pi.
  • Question
    How do I find the circumference of a circle with an area of 4 pi?
    Donagan
    Top Answerer
    The area formula is πr². If the area is given as 4π, so in this case πr² = 4π. That means the square of the radius (r) is 4, and the radius is 2. So the diameter is 4, and the circumference (πd) is 4π. (This is the one case where the area of a circle and its circumference are equal to each other, although the units of measurement are different: for example, inches and square inches.)
  • Question
    Which value for pi do I use?
    Donagan
    Top Answerer
    All pi values are substantially the same. 3.14 is close enough for most applications.
  • Question
    How do I calculate area of a circle?
    Donagan
    Top Answerer
    The area of a circle is pi multiplied by the square of the radius.
  • Question
    How do I find the area of circle whose circumference is 31.43?
    Donagan
    Top Answerer
    Divide the circumference by pi. That's the diameter. Half of that is the radius. Square the radius. Multiply by pi. That's the area.
  • Question
    How can I get the diameter of circle from its area?
    Donagan
    Top Answerer
    Divide the area by pi. Find the square root of that number. That gives you the radius of the circle. Twice the radius is the diameter.
  • Question
    If the area of the circle is 64 pi, then the radius is 8? And if the radius is 8, then the diameter would be 16; all I would have to do would be multiply 16 and pi to get my circumference?
    Donagan
    Top Answerer
    That's correct.
  • Question
    The radius of a circle is 2ft. longer than the radius of another circle. What is the radius of each if either areas differ by 24pi sq ft. Please show the solution.
    Community Answer
    Let r represent the radius (in ft) of the smaller circle. Then try to represent everything else in this problem in terms of r. The radius of the larger circle is (r+2). The areas of the circles are pi*r^2 and pi(r+2)^2. The difference is pi [(r+2)^2 - r^2] = 24 pi. The pi cancels, expand the bit in brackets. r^2 + 4r + 4 - r^2 = 24. The squared terms cancel. Divide by 4. r+1 = 6. So r = 5. the smaller radius is 5 ft and the longer one is 7 ft. Verify if you like that the areas would be 49pi and 25pi sqft. which do indeed differ by 24 sqft.
  • Question
    How do I calculate a circle's area using its circumference?
    Donagan
    Top Answerer
    Divide the circumference by pi: that gives the diameter. Divide by 2: that's the radius. Square the radius and multiply by pi.
  • Question
    Do I add 2r to the rest of the formula while looking for the circumference?
    Donagan
    Top Answerer
    "Circumference" refers only to the distance measured along a curved line. If you're thinking of a semi-circle, and you want to include the diameter in the circumference measurement, you can add twice the radius to the curved-line distance.
  • Question
    How do I find the circumference of a semicircle?
    Donagan
    Top Answerer
    You have to know the diameter. Multiply the diameter by pi. Then divide by 2.
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