10 ′ to ″ — 10 arcminutes in arcseconds

10′600″

Exact 10 × 60 = 600

10 arcminutes in other units

Degrees0.16666667°
Radians0.002908882087rad
Milliradians2.908882mrad
Gradians0.18518519gon
Arcseconds600″
Turns0.000462962963turn

′ to ″ at a glance

ArcminutesArcseconds
1 ′60 ″
2 ′120 ″
3 ′180 ″
5 ′300 ″
10 ′600 ″
20 ′1,200 ″
25 ′1,500 ″
50 ′3,000 ″
100 ′6,000 ″
250 ′15,000 ″
500 ′30,000 ″
1,000 ′60,000 ″

How to convert arcminutes to arcseconds

Multiply by 60 — one arcminute is 60 arcseconds. That factor is exact: it comes from the definition of the units rather than from a measurement, so it will not change and does not need rounding.

Working 10 × 60 = 600

In words: six hundred arcseconds.

What these units are

The arcminute and the arcsecond are covered in the angle unit guide, along with every other unit on this page.

Questions

How many arcseconds are in a arcminute?

One arcminute is 60 arcseconds. This figure is exact — it comes from the definition of the unit, not a measurement.

What is 10 arcminutes in arcseconds?

10 arcminutes is 600 arcseconds. The working is 10 × 60 = 600.

How many degrees is one radian?

About 57.3°, or exactly 180/π. A radian is the angle you get when the arc along a circle is as long as its radius, which is why the number is awkward: it comes from the geometry rather than from someone choosing a round figure.

Why does maths use radians instead of degrees?

Because the calculus only comes out clean in radians. The derivative of sine is cosine only when the angle is in radians; in degrees a factor of π/180 turns up everywhere. Degrees are a human convention, radians are the circle's own unit.

Why 360 degrees in a circle?

Babylonian arithmetic, most likely, and it stuck because 360 divides so willingly — by 2, 3, 4, 5, 6, 8, 9, 10, 12 and more. Halves, thirds and quarters of a circle all land on whole numbers, which is more than can be said for 100.

What is a gradian for?

It is the metric attempt at angle: 100 gradians in a right angle, 400 in a full circle. It never displaced the degree in general use but survives in surveying in parts of Europe, and most scientific calculators still have a GRAD mode next to DEG and RAD.

Other angle conversions

More conversions