Perimeter, Area, and Volume
"And they shall make an ark of shittim wood: two cubits and a half shall be the length thereof, and a cubit and a half the breadth thereof, and a cubit and a half the height thereof." Exodus 25:10.
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Plane Figures
Figure
Input
1
Perimeter
2
Area
3
Circle
Radius(r):
Ellipse
5
Major radius(a):
Minor radius(b):
approximate
Triangle
(SSS)
Side(a):
Side(b):
Side(c):
Triangle
(SAS)
Side(a):
Angle(C):
Side(b):
Triangle
(ASA)
Angle(A):
Side(c):
Angle(B):
Triangle
(BH)
Base(b):
Height(h):
Square
Side(s):
Rhombus
6
Side(s):
Angle(A):
Rhombus
Long Diagonal(l):
Short Diagonal(s):
Kite
6
Long Diagonal(l):
Short Diagonal(s):
Kite
Side(a):
Angle(C):
Side(b):
Rectangle
Width(w):
Heigth(h):
Parallelogram
Width(w):
Heigth(h):
Parallelogram
Base(b):
Side(s):
Angle(A):
Trapezoid
Base(b):
Top(t):
Height(h):
Regular Pentagon
Side(s):
Regular Hexagon
Side(s):
Regular N-gon
Side(s):
Number of Sides(N):
Regular N-gon
Circumscribed Radius:
Number of Sides(N):
Regular N-gon
Inscribed Radius:
Number of Sides(N):
Solid Figures
Figure
Input
1
Total Edge Length
2
Surface Area
3
Volume
4
Sphere
Radius(r):
Ellipsoid
5
Radius(a):
Radius(b):
Radius(c):
approximate
Regular Tetrahedron
Side(s):
Regular Hexahedron
(cube)
Side(s):
Regular Octahedron
Side(s):
Regular Icosahedron
5
Side(s):
Regular Dodecahedron
5
Side(s):
Note:
1
. Measured in linear units or degrees.
2
. Measured in linear units.
3
. Measured in square units.
4
. Measured in cubic units.
5
. Some formulas are from Wikipedia.
6
. Suggested by David Pleacher of the
Problem of the Month
.