Arc / circle examples – Calculated Industries 4090 User Manual

Page 79

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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.

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