Arcseconds to Quadrants (″ → quad)
Formula
1 ″ = 0.0000030864197530864196 quadConversion Table
| ″ | quad |
|---|---|
| 0 | 0 |
| 1.0000 | 0.0000030864 |
| 2.0000 | 0.0000061728 |
| 3.0000 | 0.0000092593 |
| 4.0000 | 0.000012346 |
| 5.0000 | 0.000015432 |
| 6.0000 | 0.000018519 |
| 7.0000 | 0.000021605 |
| 8.0000 | 0.000024691 |
| 9.0000 | 0.000027778 |
| 10.000 | 0.000030864 |
| 11.000 | 0.000033951 |
| 12.000 | 0.000037037 |
| 13.000 | 0.000040123 |
| 14.000 | 0.000043210 |
| 15.000 | 0.000046296 |
| 16.000 | 0.000049383 |
| 17.000 | 0.000052469 |
| 18.000 | 0.000055556 |
| 19.000 | 0.000058642 |
| ″ | quad |
|---|---|
| 20.000 | 0.000061728 |
| 21.000 | 0.000064815 |
| 22.000 | 0.000067901 |
| 23.000 | 0.000070988 |
| 24.000 | 0.000074074 |
| 25.000 | 0.000077160 |
| 26.000 | 0.000080247 |
| 27.000 | 0.000083333 |
| 28.000 | 0.000086420 |
| 29.000 | 0.000089506 |
| 30.000 | 0.000092593 |
| 31.000 | 0.000095679 |
| 32.000 | 0.000098765 |
| 33.000 | 0.00010185 |
| 34.000 | 0.00010494 |
| 35.000 | 0.00010802 |
| 36.000 | 0.00011111 |
| 37.000 | 0.00011420 |
| 38.000 | 0.00011728 |
| 39.000 | 0.00012037 |
| ″ | quad |
|---|---|
| 40.000 | 0.00012346 |
| 41.000 | 0.00012654 |
| 42.000 | 0.00012963 |
| 43.000 | 0.00013272 |
| 44.000 | 0.00013580 |
| 45.000 | 0.00013889 |
| 46.000 | 0.00014198 |
| 47.000 | 0.00014506 |
| 48.000 | 0.00014815 |
| 49.000 | 0.00015123 |
| 50.000 | 0.00015432 |
| 51.000 | 0.00015741 |
| 52.000 | 0.00016049 |
| 53.000 | 0.00016358 |
| 54.000 | 0.00016667 |
| 55.000 | 0.00016975 |
| 56.000 | 0.00017284 |
| 57.000 | 0.00017593 |
| 58.000 | 0.00017901 |
| 59.000 | 0.00018210 |
| ″ | quad |
|---|---|
| 60.000 | 0.00018519 |
| 61.000 | 0.00018827 |
| 62.000 | 0.00019136 |
| 63.000 | 0.00019444 |
| 64.000 | 0.00019753 |
| 65.000 | 0.00020062 |
| 66.000 | 0.00020370 |
| 67.000 | 0.00020679 |
| 68.000 | 0.00020988 |
| 69.000 | 0.00021296 |
| 70.000 | 0.00021605 |
| 71.000 | 0.00021914 |
| 72.000 | 0.00022222 |
| 73.000 | 0.00022531 |
| 74.000 | 0.00022840 |
| 75.000 | 0.00023148 |
| 76.000 | 0.00023457 |
| 77.000 | 0.00023765 |
| 78.000 | 0.00024074 |
| 79.000 | 0.00024383 |
Arcseconds to Quadrants Conversion
Converting Arcseconds (″) to Quadrants (quad) is a common angle conversion. 1 ″ equals 0.000003 quad. For example, 100 ″ is equal to 0.000309 quad.
Quick Mental Math: Arcseconds to Quadrants
324000 arcseconds is 1 quadrant, so scale from that anchor.
Why is converting Arcseconds to Quadrants tricky?
arcseconds and quadrants split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 ″ = 0.000003 quad. 5 ″ = 0.000015 quad. 10 ″ = 0.000031 quad. 25 ″ = 0.000077 quad. 50 ″ = 0.000154 quad. 100 ″ = 0.000309 quad.
What is Arcseconds?
Arcseconds (″) is a unit of angle. An arcsecond is 1/60 of an arcminute or 1/3600 of one degree. This unit represents 1/1,296,000 of a full circle and is used for very precise angular measurements in astronomy and optics [iso-80000]. One arcsecond equals exactly 1/60 of an arcminute. Divisions of degrees into arcseconds originated from the sexagesimal system used by ancient astronomers and were standardized by international bodies for use in precise angular measurements [iso-80000]. Arcseconds are critical in astronomical observations for locating stars and planets with precision. Surveying and satellite navigation systems also rely on arcseconds globally [nist-si-guide].
What is Quadrants?
Quadrants (quad) is a unit of angle. A quadrant is a unit of angular measurement equal to one quarter of a full circle or 90 degrees. It is used to divide circles into four equal parts, each covering 90° [iso-80000]. The quadrant was originally used in navigation and astronomy during the Middle Ages, particularly in the 15th and 16th centuries, as a tool for measuring angles up to 90 degrees [iso-80000]. Quadrants are applied in navigation, surveying, and geometry worldwide to describe directions or sections of a plane or sphere [iso-80000].
Common Misspellings
People often search for this conversion using these alternate spellings: arc second, arc sec, arcsec, arseconds, quadrant, quadrent, quantant. All of these refer to the Arcseconds to Quadrants conversion.