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Calculating the Radius of an Arc


Q


UITE OFTEN,WHEN DESIGNINGa curved cabinet or tabletop, you
need to determine the radius of an arc that will give you a spe-
cific amount of convexity (height of arc) and also fit within a specified
width. Here’s a formula for calculating the radius of an arc that must
pass through three predetermined points. With it you can find the ra-
dius (R) from the desired width (A) and height (B) as defined by the
three points, shown below. The formula is:


R = ___________(A/2)^2 + B^2
2B

CHAPTER SIX

Desired width, A

Point 1

Arc
Desired
height, B

Point 3
Radius, R,
determined
by formula

Point 2
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