You can use the formula where s is the arc lenth, then s=r(theta) where theta is the angle in radians subtended by the arc (radian is ratio of arc length to radius) If you want to use degrees, you can either convert your central angle to degrees or use s=2Pi(r)theta/360 Once again, theta is the central angle, r is the radius, Pi is good to eat if you put an e on the end, otherwise it is about 3.14159, and s is the angle of the arc which you are looking for!
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To calculate the arc length of a sector: calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees) so : (pi * diameter) * (sector angle / 360) = arc length
The area under the arc is the angular sweep of the arc (angle covered by the arc) divided by 360, multiply by pie times the square of the radius of the arc. If the value of pi is not given, 3.142 can be used as the value.
Central angle
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.
you will need to know the angle subtended by the arc; arc length = radius x angle in radians