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Area

AP CALC integrations

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Calculus
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Review 6 Name: __________________________________________________ AP Calculus BC Date: ______________________________ Period: _____ Find the area between and . Find the area between , and . (Use a single integral!) Find the volume of the region bounded by , and revolved about the -axis. (Use the method of disks!) Find the volume of the region bounded by , and revolved about the -axis. (Use the method of washers!) Find the volume of the region bounded by from , and revolved about . (Use the method of shells!) Find the arc length for the specified portion of each curve. An object is dropped from a height of 100 feet. Find its velocity when it hits the ground.

Square Properties

Subject: 
Geometry
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The perimeter of a square: To find the perimeter of a square, just add up all the lengths of the sides: The area of a square: To find the area of a square, multiply the lengths of two sides together... Another way to say this is to say "square the length of a side!" Get it? Square! The sides and angles of a square: The sides of a square are all congruent (the same length.) The angles of a square are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a square has four right angles. Opposite angles of a square are congruent. Opposite sides of a square are congruent. Opposite sides of a square are parallel. The diagonal of a square:

geometry formulas

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Geometry
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Rectangle: rectangle-image Perimeter = l + l + w + w = 2 × l + 2 × w Area = l × w Square: square-image Perimeter = s + s + s + s = 4 × s Area = s2 Parallelogram: parallelogram-image Perimeter = a + a + b + b = 2 × a + 2 × b Area = b × h Rhombus: Rhombus-image Perimeter = b + b + b + b = 4 × b Area = b × h Triangle: Triangle-image Perimeter = a + b + c Area = (b × h)/2 Trapezoid: Trapezoid-image Perimeter = a + b + c + d Trapezoid-formula-image Circle: Circle-image Perimeter = 2 × pi × r or Perimeter = pi × d Area = pi × r2 or Area = (pi × d2)/4

Pythagorean Theorem

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Algebra
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Hypotenuse
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Definition The longest side of the triangle is called the "hypotenuse", so the formal definition is: In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²): a2 + b2 = c2 Sure ... ? Let's see if it really works using an example. A "3,4,5" triangle has a right angle in it, so the formula should work. Let's check if the areas are the same: 32 + 42 = 52 Calculating this becomes: 9 + 16 = 25 Yes, it works ! Why Is This Useful?
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