Calculating the arc length sounds a bit complicated, but in fact it can be easily done by mastering some skills! This article will introduce the method of arc calculation for you in detail, so that you can master it easily.

Finding included angle by cosine theorem

We need to use cosine theorem to find the angle between the center of the circle and the connecting line between the two ends of the beam. Just follow the formula cosa=(b? *2-c？ ) /(2b*b), where a is the included angle, b is the radius of the circle, and c is the length of two straight lines of the beam.

Calculate arc length

Then, we can calculate the length of the arc by the degree of the included angle! The formula is: arc length =2b*3. 14*a/360. Look, isn't this simple?

Calculate the volume of the beam

Finally, multiply the arc length by the cross-sectional area of the beam, and you can get the volume of the whole beam!