Functions and Operations
A Short Table of Functions
Absolute Value
Square Root
Raise to a Power
Log -- Exponent base 10
Perimeter of a Rectangle
Area of a Rectangle or Parallelogram
Perimeter of a Square Rectangle
Area of a Square Rectangle
Perimeter of a Circle -- Circumference
Area of a Circle
Midpoint of segment
Diagonal of a Rectangle
Distance between 2 points
Hypotenuse of a Right Triangle
Area of a Triangle
Area of a Trapezoid
Volume of a Prism
Volume of a Rectangular Pyramid
Volume of a Cylinder
Volume of a Cone
1. The absolute value of a number,
n
.
Enter negatives as "-x" rather than "- x"
2. The square root of a number,
(n).
The
domain
on this page is nonnegative values.
3. The perimeter, P(L, W) = 2(L) + 2(W), or the
area, A(L, W) = (L)(W), of a rectangle.
Width:
Lenght:
is
4. Since all sides of a square are the same length,
the length equals the width, L = W.
The perimeter is four times the lenght:
P(L, W) = 2(L) + 2(W) = 2(L) + 2(L) = 4(L)
The area is the length squared:
A(L, W) = (L)(W) = (L)(L) = L²
The perimeter, P(L) = 4(L) or the
area, A(L) = L², of a square rectangle.
Lenght:
is
5. Circles are describe in terms of their
radius
or
diameter
.
The
circumference
is the perimeter of a circle.
The circumference,
in terms of radius,
or
in terms of diameter,
The area,
in terms of radius,
or
in terms of diameter,
Using a radius of:
The (
or
) is:
square units or units.
Using a diameter of:
The (
or
) is:
square units or units.
6.1 The midpoint of a segment,
M(x
_{1}
,y
_{1}
,x
_{2}
,y
_{2}
)= ( (x
_{1}
+x
_{2}
)/2, (y
_{1}
+y
_{2}
)/2 ).
First Endpoint: (
,
)
Other Endpoint: (
,
)
Midpoint Coordinates:
(
,
)
6.2 The diagonal of a rectangle,
D(L, W)=
(L² + W²).
Width:
Lenght:
6.5. The are of a triangle, A(b, h)= (½)(b)(h).
height:
base:
6.75. The area of a trapezoid,
A(b
_{1}
, b
_{2}
, h)= (b
_{1}
+ b
_{2}
)(h)/2.
height:
base:
other base:
7.
Distance
between 2 points:
Each point is named by one, two, or three
coordinates
.
The distance formulas used for a line, a plane, or in space.
.
From: (
) to (
)
From: (
,
) to (
,
)
From: (
,
,
) to (
,
,
)
8. A Number to a Power
.
Please do not use fractions. Rewrite the fraction as a decimal or integer number.
x:
y:
9. The log of a number,
The
domain
on this page is positive values. Rounding of the result is necessary.
(
)
10. The volume of a rectangular prism, V(l,w, h)= lwh.
The volume of a rectangular pyramid, V(l,w, h)= lwh/3.
lenght:
width:
height:
cubic units
cubic units
11. The volume of a cylinder, V(r, h)=
r²h.
The volume of a cone, V(r, h)=
r²h/3.
radius:
height:
cubic units
cubic units
© 2009 A. Azzolino
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