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GRE Prep formulas 1
Geometry area and Surface Formulas
18
Mathematics
Kindergarten
05/13/2009

Additional Mathematics Flashcards

 


 

Cards

Term
Area of a triangle
Definition
1/2bh (.5 base*height)
Term
Area of a circle
Definition
A = pi * (r^2)
Term
Pythagorean Theorem
Definition
(a^2)+(b^2)=(c^2) ----> use to find side of right triangle or to help find isosceles triangle height
Term
Area of isosceles triangle
Definition
Use Pythagorean Theorem to make two right triangles and then use 1/2bh
Term
Circumference of a circle
Definition
Pi*D or Pi*(2r)
Term
Area of a parallelogram
Definition
A = bh (make right triangle to find height)
Term
Sine of 90 degrees
Definition
1
Term
Cosine of 90 degrees
Definition
Zero
Term
Sine of a right triangle
Definition
SOH - Sine = Opposite/Hypotenuse
Term
Cosine of a right triangle
Definition
CAH - Cosine = Adjacent/Hypotenuse
Term
Tangent of a right angle
Definition
TOA - Tangent = Opposite/Adjacent
Term
Volume of a rectangle
Definition
Volume = lwh {length*width*height}
Term
Volume of a pyramid
Definition
1/3bh
Term
Volume of a cylinder
Definition
Pi(r^2)*height
Term
Arc length, given an angle in degrees and a radius
Definition
Arc Length = (angle/360)*circumference
Term
Arc Length given angle in radians and a radius.
Definition
Arc Length = (angle/(2*pi))*circumference
Term
Arc Length given chord and angle
Definition

Radius = (chord/2)/sin(angle)

 

(This is just soh-cah-toa)

Use radius in conjunction with angle in either of the other two formulas for arc length to get the arc length.

Term
Arc length given chord and radius.
Definition

Angle = arctan((chord/2)/radius)

 

This works because the radius is the hypotenuse of this triangle and (chord/2) is the opposite side. Take the angle and the radius and plug them into one of the other formulas for arc length.

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