## Formulas + Equations from Geometry 2nd Semester

##### Created by:

julieXDwilson  on May 19, 2009

##### Description:

formulas and equations from 2nd semester geometry wert

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# Formulas + Equations from Geometry 2nd Semester

 a squared + b squared = c squaredpythagorean theorem
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#### Definitions

a squared + b squared = c squared pythagorean theorem
c squared < a squared + b squared acute triangle
c squared > a squared + b squared obtuse triangle
in a 45-45-90 triangle, hypotenuse = square root of 2 x leg
in a 30-60-90 triangle, hypotenuse = 2 x shorter leg
in a 30-60-90 triangle, longer leg = square root of 3 x leg
Sine opposite/hypotenuse
m< inscribed angle = 1/2 m< intercepted arc
m < an angle formed by a chord and a tangent = 1/2 m< intercepted arc
m< an angle formed by two intercepting chords =1/2 the sum of the measures of the intercepted arcs
m< an angle formed by two secants, two tangents, or a secant and a tangent =1/2 the difference of the measures of the intercepted arcs
when two chords intersect, the product of the segments of one chord = product of segments of the other chord
when two secant segments form an angle, the product of one secant segment + its external segment = product of the other secant segment + its external segment
when a secant and a tangent form an angle, the product of the secant segment + its external segment = tangent segment squared
a of square =bh (or s squared)
a of rectangle =bh
a of parallelogram =bh
a of triangle =1/2bh
a of rhombus =1/2(diagonol 1) (diagonol 2)
a of trapezoid =1/2h(base 1 + base 2)
a of regular polygon =1/2ap
circumference of circle =2 pie r
a of circle =pie r squared
measure of arc length = x/360 times by 2 pie r
area of sector =x/360 times pie r squared
ratio of volumes a cubed:b cubed
scale factor a:b
ratio of perimeters a:b
ratio of areas a squared:b squared
LA of prism (perimeter of base)h
TA of prism LA + 2(base area)
V of prism (base area)h
LA of pyramid 1/2pl
TA of pyramid LA + base area
V of pyramid 1/3 (base area)h
LA of cylinder circumference x h
TA of cylinder LA + 2 (area of circle)
V of cylinder (a of circle)h
LA of cone pie r slant height
TA of cone LA + A of circle
V of cone 1/3 (area of circle)h
surface area of sphere 4 (a of circle)
volume of sphere 4/3 pie r cubed

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