Central angle = 120 degrees is 1/3 of whole circle.
So if arc = 28.61 = 1/3 of whole circumference
therefore, circumference = 3*28.61 = 85.83
Central angle = 120 degrees is 1/3 of whole circle.
So if arc = 28.61 = 1/3 of whole circumference
therefore, circumference = 3*28.61 = 85.83
Central angle = 120 degrees is 1/3 of whole circle.
So if arc = 28.61 = 1/3 of whole circumference
therefore, circumference = 3*28.61 = 85.83
Central angle = 120 degrees is 1/3 of whole circle.
So if arc = 28.61 = 1/3 of whole circumference
therefore, circumference = 3*28.61 = 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.
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
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
The total circumference is (arc length) times (360) divided by (the angle degrees)
Find the circumference of the whole circle and then multiply that length by 95/360.
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 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) .
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
2pi/9 radians or 40 degrees
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
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
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.
The circumference will have 360 degrees. So the arc is 94/360 of the whole circle. That is, the whole circle will be 360/94 of the arc length. So the circumference of the shole circle is 19.68*360/94 = 75.37 units (to 2 dp)
Use the information you have to find it. -- divide the length of the arc by the total circumference of the circle, or -- divide the central angle of the arc by 360 degrees (a full circle)
The total circumference is (arc length) times (360) divided by (the angle degrees)
64°/360° = 8/45 of the circle = 0.1777 (rounded, repeating)The arc's length is 8/45 of the circle's total circumference.
An arc length of 120 degrees is 1/3 of the circumference of a circle