The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.
100/360 of the circumference of the circle = 10*pi inches
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
It depends on what other information you have: area, circumference, radius, length of arc subtending a known angle, measure of angle for a known arc length etc.
Suppose the angle of the arc is x radians and the length of the arc is a units. Then, if the radius of the circle is r units, a = rx or r = a/x So d = 2a/x units of length.
The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.
The angle measure is: 90.01 degrees
100/360 of the circumference of the circle = 10*pi inches
An arc can be measured either in degree or in unit length. An arc is a portion of the circumference of the circle which is determined by the size of its corresponding central angle. We create a proportion that compares the arc to the whole circle first in degree measure and then in unit length. (measure of central angle/360 degrees) = (arc length/circumference) arc length = (measure of central angle/360 degrees)(circumference) But, maybe the angle that determines the arc in your problem is not a central angle. In such a case, find the arc measure in degree, and then write the proportion to find the arc length.
Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
The length of an arc of a circle refers to the product of the central angle and the radius of the circle.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
(arc length)/circumference=(measure of central angle)/(360 degrees) (arc length)/(2pi*4756)=(45 degrees)/(360 degrees) (arc length)/(9512pi)=45/360 (arc length)=(9512pi)/8 (arc length)=1189pi, which is approximately 3735.3536651
s = rθs=arc lengthr=radius lengthθ= degree measure in radiansthis formula shows that arc length depends on both degree measure and the length of the radiustherefore, it is possible to for two arcs to have the same degree measure, but different radius lengthsthe circumference of a circle is a good example of an arc length of the whole circle
The length of an arc of a circle of radius r, which subtends an angle of x radians at the centre is r*x.
The measure of an arc is part of the circumference of a circle