# 360 Degree Assessment Is Flawed

That moment, when your manager says to you β¦ we are introducing 360 degree assessments into the business β¦

Say what?

How flat, How retro. How old school. How two dimensionaL. How wrong.

We are people in a three dimensional world - surely our assessments deserve more than two dimensions.

Me - I assess a full 4Pi Steradian view!

Steradian β¦ An area on the surface of the sphere equivalent to the square of its radius.

## Explanation

Angular measurement on a circle is defined by the ratio of the arc length to the radius of the circle, so a full rotation is 2 pi r / r = 2 pi radians, or 360 degrees if you want to use Babylonian units.

For a sphere, the idea is similar. You take the ratio of the area of the part of the sphere that you can travel to, to the square of the radius. These βanglesβ are called solid angles, and since the area of a sphere is 4 pi r^2, a sphere subtends a solid angle of 4 pi, the units being steradians. So the mathematical analog for a 360 view would be a 4 pi steradian view.

Β

Someone, Somewhere.

## From Wikipedia

A square degree has sides of one degree, projected on a sphere.

There are (360)^2/pi square degrees on a sphere, which is approximately 41252 square degrees.

You can also use stereo-radians, or steradians, which is an area on the surface of the sphere equivalent to the square of its radius.

It is commonly used in radiant energy measurements, like in βX watts per steradianβ.

A full sphere has 4*pi steradian.

In short, a 3D equivalent of a plane 360 degree view is 41252 square degrees or 12.5 steradians.

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