Formulas + Equations from Geometry 2nd Semester
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Created by:
julieXDwilson on May 19, 2009
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formulas and equations from 2nd semester geometry wert
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45 terms
Terms | 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 |
| Cosine | adjacent/hypotenuse |
| Tangeant | opposite/adjacent |
| 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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