Simple Math Finds Radius of an Arc
I’m building a bow-front cabinet and need to find the radius of the bow so that I can make some templates, using a router on a trammel. How can I find it?
Thomas Mullins, Fort Worth, TX
From your plans, you can find the width and height of the arc. Then you can use a simple mathematical formula to determine the arc’s radius.
|R= H/2 + (W2/8xH) |
R= 1/2 + (162/8×1)
R= 1/2 + 256/8
R= 1/2 + 32
R= 32-1/2 in.
R=Radius H=Height W=Width
|Fun with Algebra The width and height of an arc can be used to determine its radius. Here, the width is 16 in., the height is 1 in., and the radius is 32-1/2 in.|