The total circumference is (arc length) times (360) divided by (the angle degrees)
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
The length of an arc is the radius times the angle in radians that the arc subtends length = radius times angle in degrees times pi/180
arc length/circumference = central angle/2*pi (radians) So, central angle = 2*pi*arc length/circumference = 4.54 radians. Or, since 2*pi radians = 360 degrees, central angle = 360*arc length/circumference = 260.0 degrees, approx.
It's 0.524 of the length of the radius.
(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
The total circumference is (arc length) times (360) divided by (the angle degrees)
The relation between the arc of length and the central angle is that the arc of length divided by one of the sides is the central angle in radians. If the arc is a full circle, then the central angle is 2pi radians or 360 degrees.
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.
I'm assuming that "c" is short for "circumference". The length of an arc is (circumference)*(360/angle). So the length of an arc in a circle with circumference length of 18.84 is 6782.4/angle, where the angle is measured in degrees.
The length of an arc is the radius times the angle in radians that the arc subtends length = radius times angle in degrees times pi/180
The arc length divided by the radius is the angle in radians. To convert radians to degrees, multiply by (180/pi).
arc length/circumference = central angle/2*pi (radians) So, central angle = 2*pi*arc length/circumference = 4.54 radians. Or, since 2*pi radians = 360 degrees, central angle = 360*arc length/circumference = 260.0 degrees, approx.
It's 0.524 of the length of the radius.
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
Fist at arms length = ~ 10 arc degrees Thumb at arms length = ~ 2 arc degrees Little finger ~ 1 arc degree
If the angle is 2x radians then the length of the arc is 2x*r units where the radius of curvature is r units. If you measure the angle in degrees, then the length of the arc is pi*x*r/90 units.