Plane Angle and Solid Angle Have PDF Summary
Hello friends, today we are going to upload Plane Angle and Solid Angle Have PDF to help you all. A horizontal angle is well known: one full revolution is 360° or 2π radians. A solid angle extends this concept onto the surface of a sphere. A solid angle (Figure 1.3), as seen from the center of a sphere, covers a certain area on the surface of that sphere. The value of the solid angle is numerically equal to the size of the area divided by the square of the radius of the sphere.
The maximum solid angle is ~ 12.57, corresponding to the full area of the unit sphere, which is 4π. Mathematically, the solid angle is unity but for practical reasons, the steradian is fixed. The unit of a solid angle is the steradian (sr), while radians and degrees are the units of (plane) angle. Another unit of a solid angle is the square degree. It is an imaginary square eg. A celestial sphere has a side of 1°.
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