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.
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
length of arc/length of circumference = angle at centre/360 Rearranging the equation gives: length of arc = (angle at centre*length of circumference)/360
100/360 of the circumference of the circle = 10*pi inches
the fraction of the circle covered by the arc
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.
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.
An arc length of 120 degrees is 1/3 of the circumference of a circle
It is part of the circumference of a circle
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)
To find the arc length, you also need to know the radius (or diameter) of the arc. The arc length is then found by finding the circumference of the full circle (2xPIxradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).
If the circumference of the circle is 32 cm, the length of the arc that is 1/4 of the circle is: 8 cm
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 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