Hence the radius of wooden wheel is half of 3 i.e, 3/2 = 1.5 ft. We know that the radius of the circle is the half of the diameter. Lets use the above formula to calculate the arc length of circle.Īrc length = (central angle x π/ 180 ) x radiusĮxample 2 : Find arc length of a wooden wheel with diameter measuring 3 ft and central angle of 45 degrees. To do so you just have to multiply the value of angle by π/ 180. Example: Calculate the length of an arc with radius 10cm and the angle ssubtended by the radius is 50 degrees. r is the radius also labelled as MA and MB. is the angle subtended by radius MA and radius MB. Because, in order to compute the arc length of a circle, we must convert the center angle from degrees to radians. Formula to calculate the length of an arc. The definite integral, as the limit of a Riemann sum as the slice width goes to zero. First and foremost, determine whether the central angle of the circle is in degrees or radians before attempting to calculate the arc length. We have seen how Riemann sums can be used to approximate areas and volumes. So that you don’t get confused, we started with a very simple and basic example. We will explain you how to find out the arc length of numbers with a very simple example.Įxample 1 : Find the length of an arc of a circle having radius 3 meter and the central angle 25 degree. With the help of an example, we will try to explain the topic as simply as possible. You can simply calculate the arc length if you know the radius/diameter and the center angle of the circle. Note : If central angle is in radians then you can directly multiply it by radius (arc length = central angle x radius) How to Calculate Arc Length of CircleĬalculating the arc length of a circle is not difficult.
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