HP 48GII

Equation Reference 5-45
Rectangle (11, 3)
Equations:
Abh⋅=
P2b⋅ 2+h⋅=I
bh
3
⋅
12
-------------
=
J
bh⋅
12
----------
b
2
h
2
+()⋅=IdIA+d
2
⋅=
Example:
Given: b=4_chain, h=7_rd, d=39.26_in. Set guesses for I, J, and Id in km^4.
Solution: A=28328108.2691_cm^2, P=23134.3662_cm, I=2.9257E–7_km^4, J=1.8211E–6_km^4,
Id=2.9539E–7_km^4.
Regular Polygon (11, 4)
Equations:
A
1
4
- - -
n L
2
⋅ ⋅
T A
N
180
n
- - - - - - - - -
⎝
⎠
⎛
⎞
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
=
P n L
⋅
= rs
L
2
---
TA
N
180
n
---------
⎝
⎠
⎛
⎞
-----------------------------
=
r
v
L
2
- - -
S I
N
180
n
- - - - - - - - -
⎝
⎠
⎛
⎞
- - - - - - - - - - - - - - - - - - - - - - - - - - -
=
θ
n 2
–
n
- - - - - - - - - - - -
180
⋅
=
β
360
n
---------
=
Example:
Given: n=8, L= 0.5_yd.
Solution: A=10092.9501_cm^2, P=365.7600_cm, rs=55.1889_cm, rv=59.7361,
θ=135_°, β=45_°.