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Circumference to Diameter

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Conversion between Circumference and Diameter

The following chart will enable you to do a quick assessment of the diameter needed to encircle a shape that may even be irregular or not even circular.  Items that are intended to be encompassing or circular are often quoted as their internal or external diameter and such examples are elastic bands and 'O' rings.  For objects that are perfectly circular the diameter can be measured with callipers, but, if the object were say hexagonal or oval it is not so easy to estimate the equivalent diameter round object that will 'wrap' round the shape.  This is where measuring the circumference can make this easy and remove the guesswork.

One easy method is to take a piece of string or thread (the latter being more accurate for small diameters) and wrap around the object.  Mark the point where the string/thread passes each other,  take the string/thread and lay out in a straight line, measuring the length between the marks, this is the circumference.

Use the table below to get the equivalent diameter by reading across the table.

Tip: Make your measurement in millimetres as it is far easier than fractions or imperial decimal values, you can then read from the chart the equivalent diameter in whatever form you need.

Don't forget that there is a difference between inner and outer diameters which you may have to make allowances.  Similarly if you are expecting a tight or loose fit make allowances for that as well.  Unless the materials you are using will stretch or compress bear in mind that a 1" or 25mm round bar will not fit into a 1" or 25mm hole, at least not without a press or hammer.

Conversion Chart - Circumference to Diameter

Note: The first column to the left is only approximate equivalent to the decimal figure in the next column. The formula used to calculate circumference to diameter is C=pie x diameter, where pie =22/7 or 3.143, These figures are not guaranteed to be correct, please inform of any errors.

Circumference

Diameter

Inches

Millimetres

Inches

Millimetres

fraction

decimal

mm

fraction

decimal

mm

25/32

0.7857

19.9568

1/4

0.2500

6.3500

1 3/16

1.1786

29.9352

3/8

0.3750

9.5250

1 9/16

1.5714

39.9136

1/2

0.5000

12.7000

1 31/32

1.9643

49.8920

5/8

0.6250

15.8750

2 23/64

2.3571

59.8703

3/4

0.7500

19.0500

2 9/16

2.5535

64.8595

13/16

0.8125

20.6375

2 3/4

2.7500

69.8487

7/8

0.8750

22.2250

2 15/16

2.9464

74.8379

15/16

0.9375

23.8125

3. 9/64

3.1428

79.8271

1

1.0000

25.4000

3 11/32

3.3392

84.8163

1 1/16

1.0625

25.4000

3 17/32

3.5357

89.8055

1 1/8

1.1250

28.5750

3 47/64

3.7321

94.7947

1 3/16

1.1875

30.1625

3 15/16

3.9285

99.7839

1 1/4

1.2500

31.7500

4 1/8

4.1249

104.7731

1 5/16

1.3125

33.3375

4 21/64

4.3214

109.7623

1 3/8

1.3750

34.9250

4 33/64

4.5178

114.7515

1 7/16

1.4375

36.5125

4 23/32

4.7142

119.7407

1 1/2

1.5000

38.1000

5 7/64

5.1071

129.7191

1 5/8

1.6250

41.2750

5 1/2

5.4999

139.6975

1 3/4

1.7500

44.4500

5 57/64

5.8928

149.6759

1 7/8

1.8750

47.6250

6 9/32

6.2856

159.6542

2

2.0000

50.8000

6 43/64

6.6785

169.6326

2 1/8

2.1250

53.9750

7 5/64

7.0713

179.6110

2 1/4

2.2500

57.1500

7 15/32

7.4642

189.5894

2 3/8

2.3750

60.3250

7 55/64

7.8570

199.5678

2 1/2

2.5000

63.5000

8 1/4

8.2499

209.5462

2 5/8

2.6250

66.6750

8 41/64

8.6427

219.5246

2 3/4

2.7500

69.8500

9 1/32

9.0356

229.5030

2 7/8

2.8750

73.0250

9 7/16

9.4284

239.4814

3

3.0000

76.2000

9 13/16

9.8213

249.4598

3 1/8

3.1250

79.3750

10 13/64

10.2141

259.4381

3 1/4

3.2500

82.5500

10 39/64

10.6070

269.4165

3 3/8

3.3750

85.7250

11

10.9998

279.3949

3 1/2

3.5000

88.9000

11 25/64

11.3927

289.3733

3 5/8

3.6250

92.0750

11 25/32

11.7855

299.3517

3 3/4

3.7500

95.2500

12 3/16

12.1784

309.3301

3 7/8

3.8750

98.4250

12 9/16

12.5712

319.3085

4

4.0000

101.6000

12 31/32

12.9641

329.2869

4 1/8

4.1250

104.7750

13 11/32

13.3569

339.2653

4 1/4

4.2500

107.9500

13 3/4

13.7498

349.2437

4 3/8

4.3750

111.1250

14 9/64

14.1426

359.2220

4 1/2

4.5000

114.3000

14 17/32

14.5355

369.2004

4 5/8

4.6250

117.4750

14 59/64

14.9283

379.1788

4 3/4

4.7500

120.6500

15 21/64

15.3212

389.1572

4 7/8

4.8750

123.8250

15 23/32

15.7140

399.1356

5

5.0000

127.0000

0.0000

0.0000

0.0000
 

0.0000

0.0000

    

0.0000

Šelks2003            Page last updated 21st April 2003

The circumcision of any child without unavoidable medical need is an abuse of human rights of the child and the adult the child will become.  It is a barbaric act of sexual abuse which degrades and shames any society that allows it.