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radian is the ratio between the length of an arc and its radius.

A steradian can be defined as the solid angle subtended at the center of a unit sphere by a unit area on its surface. For a general sphere of radius r, any portion of its surface with area A = r2 subtends one steradian.

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Q: Is there any relatoin between radian and steradian?
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Is there any classification for supplementary units?

The supplementary units are the radian and steradian units. This SI classification was made in 1995 but was later abandoned and the units were regrouped as derived units.


Why the word or unit radian can be omitted when an angle is measured in radian?

As the ratio of two lengths, the radian is a "pure number" that needs no unit symbol, and in mathematical writing the symbol "rad" is almost always omitted. In the absence of any symbol radians are assumed, and when degrees are meant the symbol ° is used.


What si units of measurement?

The SI units of measure are any of the units adopted for international use under the " Système International d'Unités (SI)", now employed for all scientific and most technical purposes. There are seven fundamental units: the metre, kilogram, second, ampere, Kelvin, candela, and mole; and two supplementary units: the radian and the steradian. All other units are derived by multiplication or division of these units without the use of numerical factors


What are the angles measures in degrees and radian?

Any angle can be measured in degrees or in radians.But the question seems to be: What are corresponding radian measures for the angles expressed in degrees? To that question there is no answer because the possible list of "degree angles" to be expressed in radians would be unlimited.


What is si units of measurement?

The SI units of measure are any of the units adopted for international use under the " Système International d'Unités (SI)", now employed for all scientific and most technical purposes. There are seven fundamental units: the metre, kilogram, second, ampere, Kelvin, candela, and mole; and two supplementary units: the radian and the steradian. All other units are derived by multiplication or division of these units without the use of numerical factors


How can you prove that radian angle is a constant angle?

In any and all circles, the ratio of the circumference to the diameter is a constant called 'pi' ~ 3.14159 and since a full circle contains 2 pi radians = a constant 360 degrees, then the radian itself is a constant angle ~ 180/3.14159 = 57.3'.


The spokes on a ship's wheel are positioned so that the spokes divide the wheel inot eight equal sized sections . What is the measure of the angle between any two spokes?

The angle is pi/4 radian. If you are at an early stage in studying mathematics, that is 45 degrees.


How can you solve -2sin2x plus 14sin2x equals 9?

-2sin(2x)+14 sin(2x)=9 12 sin(2x)=9 sin(2x)=9/12 2x= sin^-1(3/4) = sin^-1(0.75) 2x=0.84806 radian x = 0.42403 radian or 24.295 degrees The other solution is x=2.7176 radian or 155.705 degrees Since the sine function has period 2PI, the general solution may be written as x= 0.43403+ 2nPI, where n is any integer and x=2.7176 + 2nPI, where n is any integer


What is radian?

"Radian" is an angle, of a very specific size. If you draw a 1-radian angle from themiddle of a circle, then the length of the piece of the circle that it cuts out is exactlyequal to the length of the circle's radius.Since the length of the circle's full circumferece has 2pi times the radius in it, the full360 degrees of angle in the circle has 2pi radians in it.That makes the size of each radian 360/2pi = about 57.3 degrees (an irrational number).Just reading about it now, you don't see any reason to use an angle with sucha complicated definition, especially if you can never exactly write the number ofdegrees in it. But when you get into Physics, Calculus, Electricity, Engineering,and Trig, this angle starts to pop up everywhere.


How do you find radius when arc length is given?

Let us recall the formula for the circumference of a circle. That one is 2pi r. r is the radius of the circle and 2pi is the angle in radian measure subtended by the entire circle at the centre. If this is so, then any arc length 'l' will be equal to the product of the angle in radian measure subtended by the arc at the centre and the radius.So l = theta r. Say theta is the angle subtended by the arc at the centre.Therefrom, r = l / Theta.


Are readians and streadians the basic unit of si justify your answer?

It seems that some people consider these base units, some don't. You might want to make up your own mind about what you think about this point. However, I would go for "derived unit", simply because that's the official definition. A radian is used to measure angles; the way it is defined is by dividing an arc on a circle by the radius; so naturally, the units are meters/meters. Or substitute any other unit of length for meter, such as angstrom/angstrom or AU/AU or light-years/light-years; but the result would be exactly the same. In other words, it's a dimensionless unit. The same applies to the steradian, which is radian2. This, of course, is also a dimensionless unit. It is also officially considered a derived unit.


What is Relation between the length of the circular arc and the radian measures of its central angle?

You can think of an arc as a fraction of the circumferance of a circle. Also, a complete circle is 2pi radians, so any central angle is THETA / 2pi of a complete circle. Multiply by the circumferance to get the length of the arc: THETA / 2pi * 2(pi)(r) = THETA * r or the length of the arc is simply the radius times the central angle in radians