how do you find circumference

2 hours ago 2
Nature

To find the circumference of a circle, you use one of these two formulas:

  • C=π×dC=\pi \times dC=π×d, where ddd is the diameter of the circle.
  • C=2×π×rC=2\times \pi \times rC=2×π×r, where rrr is the radius of the circle.

Here, π\pi π (pi) is a constant approximately equal to 3.14.

Steps to calculate circumference:

  1. If you know the radius, multiply it by 2 to get the diameter, or use the radius directly in the formula C=2πrC=2\pi rC=2πr.
  2. If you know the diameter, multiply it directly by π\pi π.
  3. Use π≈3.14\pi \approx 3.14π≈3.14 for an approximate value.
  4. The result will give you the length around the circle, called the circumference.

Example:

  • For a circle with radius 9 cm:

C=2×π×9=18π≈56.52 cmC=2\times \pi \times 9=18\pi \approx 56.52\text{ cm}C=2×π×9=18π≈56.52 cm

  • For a circle with diameter 12 feet:

C=π×12=12π≈37.68 feetC=\pi \times 12=12\pi \approx 37.68\text{ feet}C=π×12=12π≈37.68 feet

You can also measure the circumference physically by wrapping a string around the circle and measuring the string length