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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).
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What is a steradian?
A steradian is the solid angle subtended at the centre of a sphere by radius r by a portion of the surface of the sphere which has area r2.
How do you measure solid angle?
A solid angle, measured from a vertex, is the ratio between the area subtended by the angle at the vertex and the the square of the distance to the vertex. The unit of measurement is the stradian.
An angle subtended by an arc is double at the center?
an angle subtended by an arc is double at the center
What is an angle whose vertex whose vetex is the center of a circle?
It will be the same angle subtended by its circumference.
What is the value of the degree of an angle in a semi-circle?
An angle subtended at the semicircular arc is 90 degrees.
What is a steradian?
A steradian is the solid angle subtended at the centre of a sphere by radius r by a portion of the surface of the sphere which has area r2.
How do you measure solid angle?
A solid angle, measured from a vertex, is the ratio between the area subtended by the angle at the vertex and the the square of the distance to the vertex. The unit of measurement is the stradian.
An angle subtended by an arc is double at the center?
an angle subtended by an arc is double at the center
What is the relationship between radian steradian degree?
if alpha is the solid angle subtended by a cone and theta is the 2d projection angle of this solid angle...Then----(both alpha and theta are in radians then) cos(theta) = 1 - (alpha/2*pi)
Is there any relatoin between radian and steradian?
nopes. 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.
What is an angle whose vertex whose vetex is the center of a circle?
It will be the same angle subtended by its circumference.
What is the value of the degree of an angle in a semi-circle?
An angle subtended at the semicircular arc is 90 degrees.
What does subtended mean?
The term "subtended" refers to the angle formed at a specific point by two lines or segments extending to meet at that point. In geometry, it often describes how an angle is formed by two radii of a circle meeting the circumference, with the arc between them being subtended by that angle. Essentially, it conveys the relationship between angles and the figures they encompass.
If an arc subtend angle of 75 what is angle subtended by it on remaining part of circle?
360 - 75 = 285
what is the solid angle of the sun subtended on earth?
The solid angle of the Sun (as seen from Earth) is:pi * R_SUN² / d²where pi*R_SUN² is the area of the visible disk of the Sunand d² = 1UA (in meters) for the EarthWith my values I got ~6.79427e-05 srBut I read on Wikipedia 6.807e-05 sr
What do you call the angle whose vertex is at the center of the circle and whose sides are the radii of the circle?
It is the subtended angle of the arc
What angle does a sphere have?
A sphere has no angles.
