Circle (11, 1); Ellipse (11, 2) - HP 48gII Advanced User's Reference Manual

Circle (11, 1)

Equations:
2
A = r
r
J = ----------- -
2
Example:
Given: r=5_cm, d=1.5_cm.
Solution: C=31.4159_cm, A=78.5398_cm^2, I=4908738.5_mm^4, J=9817477.0_mm^4,
Id=6675884.4_mm^4.

Ellipse (11, 2)

Equations:
A = b h
b h
----------------- -
J =
4
Equations: Example:
Given: b=17.85_ m, h=78.9725_ in, d=.00000012_ft.
Solution: A=1.1249E–6_cm^2, C=7.9805E–3_cm, I=1.1315E–10_mm^4, J=9.0733E–9_mm^4,
Id=1.1330E–10_mm^4.
5-44 Equation Reference
C = 2 r I
4
2
Id = I A + d
2 2
b + h
C = 2 ---------------- - I =
2
2 2
b + h Id = I + A
4
r
= ----------- -
4
3
b h
--------------------
4
2
d