answersLogoWhite

0

At first, let us define an angle in radians:

Consider an arc of lenght L over an angle alfa in a circle with radius R. The angle alfa is defined as alfa=L/R [in radians]. Similarly, an stereo angle is defined in a sphere with radius R over an area S, and the stereo angle alfa is defined as: alfa=S/R^2 [in steradians]. The sphere has S=4.pi.R^2, so the corresponding angle of the sphere in steradians is

alfa=S/R^2

alfa=4.pi.R^2/R^2

alfa=4.pi [steradians]

User Avatar

Wiki User

17y ago

What else can I help you with?

Related Questions

How many solid degrees are there in a sphere?

Spheres are measured with solid angles (which are like two dimensional angles). These angles can be measure with square degrees or steradians. A sphere measures 129300/π square degrees (or about 41,253 square degrees). A sphere measures 4π steradians (or about 12.566 steradians.)


What is the solid angle subtended by a sphere?

The solid angle subtended by a sphere is defined as the area of the sphere's surface divided by the square of the radius of the sphere. It is measured in steradians (sr), and a full sphere subtends a solid angle of (4\pi) steradians. This value corresponds to the total area of the sphere's surface area (A = 4\pi r^2) divided by (r^2), resulting in (4\pi).


How many steradians in a hemisphere?

There are 2*pi stradians or tau steradians in a hemisphere.


What are properties of angles?

They are measures of angular displacement. In two dimensional space they may be measured in degrees (by beginners) or in radians. There are 2*pi radians in a revolution. In 3-d space angles are measured in steradians. A sphere measures 4*pi steradians


What direction does light travel?

Light travels coincentrically in a sphere from it's source (2-pi steradians solid angle.) That is why light from a candle will shine in all directions.


What directions light travel?

Light travels coincentrically in a sphere from it's source (2-pi steradians solid angle.) That is why light from a candle will shine in all directions.


How many degrees are there in a hemisphere?

hemispheres and deg (degrees) are not compatible. solid angles are measured in steradians of spheres 2pi steradians or 0.5 spheres in a hemisphere In cartography, a hemisphere would encompass 180 degrees of longitude.


Different systems of measuring an angle?

There are three main units for measuring a plane angle. The most important, in advanced mathematics, is the radian. there are 2pi radians in a whole turn - or in a circle. A better known measure, because it is taught in elementary mathematics, is the degree which is equivalent to 1/360 of a turn. Finally, there is the gradian [1/400 of a turn], which is rarely used. In 3-dimensional space, angles are measured in steradians and there are 4pi steradians in a sphere.


How many syablles in word sphere?

Sphere is one syllable: sphere.


How many edge in sphere?

There is no edge in a SPHERE


How many corners on a sphere?

There are no corners to a sphere because a sphere should have no vertices.


What angle is a cube?

The measure of the angle of a cube is pi/2 steradians.

Trending Questions
What is a synonym for forecasts? A marble is selected from a random jar containing 3 red marbles 4 yellow marbles and 2 marbles what are the odds in favor of selecting a red marble? Do often and sometimes mean the same thing? What is the major difference between a mathematical model and an econometric model? What is the probability of rolling a 4 sided dice a factor of 24? Which department is often responsible for the direct materials price variance? The eleven letters of the word Mississippi are scrambled and then arranged in some order what is the probability that the four i's are consecutive letters in the resulting arrangement? What is the 300 over 750 as a percentage? Are the mean and median equal in a normal distribution? How the beta of a portfolio can equal the market beta if 50 percent of the portfolio is invested in a security that has twice the amount of systematic risk as an average risky security? Is it possible to be pregnant after 1 month of sex? What is the probability of rolling a multiple of 4 on a fair-sided number cube? Why should LD50 be greater than ED50? What is a statistic? What are often used on graphs to show statisitical comparisons? Why is it important to carry out a large number of trials in determining probability? Why should a statistician look at descriptive statistics along with graphical displays of a data set? What is the z score for 0.71? You started spotting when you should have gotten your period but didn't does that mean I'm pregnant? How do you shuffle cards?