The total circumference is
(arc length) times (360) divided by (the angle degrees)
75.37 c=(AL)(360) devided by (angle degree)
one three-hundred-and-sixtieth of the circumference of a circle
May things, but the probable answer sought here is a diameter of a circle, at the circumference of the circle.
A central angle of 120 is one third of the circle, so the arc length of 28.61 is one third of the circumference. 28.61 X 3 = 85.83
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.
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
75.37 c=(AL)(360) devided by (angle degree)
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.
one three-hundred-and-sixtieth of the circumference of a circle
The entire circumference has a central angle of 360 degrees. The arc is a fraction of the circumference. The fraction is (central angle) divided by (360). So the arc length is: (circumference) x (central angle) / (360) .
Arc length is equal to radius times the angle the arc subtends (makes) at the centre of the circle, but the angle needs to be in radians. Set your calculator to radians instead of degrees, or, to change degrees to radians, divide by 180 and times pi. The formula comes from the fact that the length of the arc is proportional to the circumference of the circle in the same ratio as the angle at the centre is to the complete revolution at the centre, so length of arc: circumference of circle = angle size : 360o arc/(2*pi*r) = angle in degrees/360 or angle in radians/(2*pi) so arc length is angle in degrees divided by 360, times the circumference of the circle. Answer will be in the same measurement unit as the radius.
May things, but the probable answer sought here is a diameter of a circle, at the circumference of the circle.
A central angle of 120 is one third of the circle, so the arc length of 28.61 is one third of the circumference. 28.61 X 3 = 85.83
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.
The angle measure is: 90.01 degrees
90*360/81 = 400 units of length.