Measurements

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Calc Review

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MAT.116 4.1

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Area, Perimeter & Volume

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Definite Integrals - area under a curve

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Measurements

Volume

Pyramids and Cones

V= 1/3Bh

General Prism or Cylinders

Formula: V=Bh

Formula: V=Bh

Measures the amount of space enclosed within the boundry

Surface Area

Sphere

Formula: S=4piR2

Right Circular Cone

Formula: SA=piR2+piRs

Right Regular Pyramid

Formula: SA=B+1/2ps

Right Prisms and Cylinders

Formula: SA=2B+ph

The extent of a 2-dimensional surface enclosed within a boundary

Circumfrence

Formula: 2piR

The perimeter of a circle is called the circles circumfrence

Square Units

We use square units becuase it is uniform or the same when compared. It is also easier to use than it would be for example a circle.

Pythagorean Theorem

Equation

Area:

Trapezoid:

1/2 x Height (base1 + base2)

Circle:

pi x radius squared

Triangle:

Example:

1/2 x base x height

Square:

Example:

base x height

Area

Trapezoid formula: 1/2(a+b)h

Triangle formula: 1/2bh

Parallelogram formula: bh

Rectangle formula: bh

Circle formula: piR2