Arc / circle examples – Calculated Industries 4090 User Manual
Page 79

78 — ITI S
HEET
M
ETAL
/HVAC P
RO
ARC / CIRCLE EXAMPLES
Arc Length — Degree and Diameter Known
Find the Arc length of an 85° portion of a Circle with a 5-Foot
Diameter:
KEYSTROKE
DISPLAY
o o
0.
5 f C
DIA 5
FEET
0
INCH
8 5 Ç C
ARC 85.00°
C
ARC 3
FEET
8-1/2
INCH
Arc Length — Degree and Radius Known
Find the Arc length of a Circle with a 24-Inch Radius and 77° of Arc
(77° of 360° Circle):
KEYSTROKE
DISPLAY
o o
0.
2 4 i Ç p (Segment Radius)
RAD 24
INCH
7 7 Ç C
ARC 77.00°
C
ARC 32-1/4
INCH
Using ArcK to Calculate an Arc Length
Using the ArcK constant (0.017453), calculate the Arc length given
100° of a one-unit Circle. The Radius is 5 Feet.
KEYSTROKE
DISPLAY
1. Enter Degrees and multiply:
oo
0.
100x
100.
2. Enter Radius and multiply:
5fx
500
FEET
0
INCH
3. Recall ArcK:
Ç π
ARCK 0.017453
4. Calculate Arc Length:
=
8
FEET
8-3/4
INCH
Note: ArcK is equivalent to the constant of a 1° Arc angle for a one-unit value. It may
be multipled with a Unitless, Linear, Square or Cubic value. The formula for ArcK is
π/180.