This is Why 180° Arc Length = 3.17157

PhotoEditor_20200111_201951246.jpg

With the same method as the previous 90° arc, in which the edge of X line gets moved vertically, and at the same time the sine goes horizontally, it will give the length:

1. Horizontal = the total length from Sin0 to Sin90 + from Sin90 to Sin0 = 1 + 1 = 2.
2. Vertical: the length of Xo to X1 = 1
3. The outer length which is the ultimate length when the Sine points out at 180°/2, it equals 1 – 0.82843 = 0.17157

Total 180° arc = 2 + 1 + 0.17157 = 3.17157.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s