Q: Does an angle of 1 radian stay the same if the size of the circle changes?

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Radian is a more natural way of expressing an angle. By this I mean it is related to the natural relationship between a circle (actually an arc of a circle) and the radius of the circle, while degrees are a measurement created by man.If you take an angle of 1 radian, the measurement along the arc is equal to the length of the radius. Hence the term radian has the same root as radius. So if you multiply the angle measurement (in radians) by the radius, then you have the length of the arc.If you have a full circle (360Â° is equal to 2*pi radians), the circumference (length of an 'arc' going all the way around the circle) is 2*pi*radius.

When the arc length is the same size as a circle's radius it is known as a radian and it measures just under 57.3 degrees

It is an angular displacement of null value. The same as an angle of 0 degrees.

Angle is dimensionless. It's actually the ratio of two lengths ... the length of an arc of the circle to the length of the radius of the circle. That ratio is the same number for the same angle in any-size circle, and it's directly proportional to the angle that cuts the arc. When you measure angles in radians, the angle IS that number.

It will be the same angle subtended by its circumference.

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Radian is a more natural way of expressing an angle. By this I mean it is related to the natural relationship between a circle (actually an arc of a circle) and the radius of the circle, while degrees are a measurement created by man.If you take an angle of 1 radian, the measurement along the arc is equal to the length of the radius. Hence the term radian has the same root as radius. So if you multiply the angle measurement (in radians) by the radius, then you have the length of the arc.If you have a full circle (360Â° is equal to 2*pi radians), the circumference (length of an 'arc' going all the way around the circle) is 2*pi*radius.

The radian system describes angles in terms of the diameter of a unit circle, i.e. where the radius is 1. If two lines intersect at the radius of a unit circle, the angle in radians between those two lines is the length of the arc along the diameter of the circle delimited by those two lines. The diameter of a unit circle is 2 pi. In the degree system, the angle of one quarter of the circle is 90, while the radians of that same angle is pi / 2. One radian is approximately 57.3 degrees.

A radian is part of the circumference of a circle and its length is the same size as the circle's radius and it is about 57.3 degrees.

When the arc length is the same size as a circle's radius it is known as a radian and it measures just under 57.3 degrees

It is an angular displacement of null value. The same as an angle of 0 degrees.

The obvious answer is 58 degrees. It is very close to one radian (57.3 degrees), which is an angle such that the length of the arc that it subtends is the same as the radius.

Angle is dimensionless. It's actually the ratio of two lengths ... the length of an arc of the circle to the length of the radius of the circle. That ratio is the same number for the same angle in any-size circle, and it's directly proportional to the angle that cuts the arc. When you measure angles in radians, the angle IS that number.

No. A radian is a measure of an angle, it is not, itself, an angle. Degrees and radians are measures of angles and the two measures are related by the following conversion: 180 degrees = pi radians

The same as the central angle of the circle

It will be the same angle subtended by its circumference.

No. A full angle is a segment of a line which goes to a vertex and returns along the same path. Any point on the line segment, other than the vertex, will trace out a circle but the angle itself is NOT a circle.

Congruent arcs are circle segments that have the same angle measure and are in the same or congruent circles.