You also need the radius.
In degrees:
A full circle has 360o and a circumference of 2{pi}r. If you know the arc length, you can work out the fraction of the circumference this represents (divide arc_length by 2{pi}r) and multiply this by 360o to get the angle in degrees.
In radians:
A full circle has 2{pi} radians; using radians arc_length = angle x radius. So given an arc_length, divide by the radius to get the angle in radians.
The answer will depend on what other information is given.
If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
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
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.
The answer will depend on what other information is given.
(arc length / (radius * 2 * pi)) * 360 = angle
You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
With the information given, you cannot. You need the radius or the central angle.
If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
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.
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.
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) .
5.23
The answer depends on what information you do have: radius, arc length, central angle etc.