Geometry 400 FORMULAS
Terms
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- Midpoint
- C1+C2/2
- Number of triangles in a polygon
- n - 2
- Sum of interior angles of a regular polygon
- 180(n - 2)
- Measure of exterior andles of a regular polygon
- 360/n
- Measure of interior angles of a regular polygon
- s/n
- Number of diagonals from any vertex in a regular polygon
- n - 3
- Total number of diagonals
- n(n - 3)/2
- Proportion
-
P.O.M. = P.O.E.
a/b = c/d - Measure of a median of a triangle
- 1/2 base
- distance formula
-
the square root of
(x - x)2 + (y - y)2 - sine (-)
- opposite side / hypotenuse
- cosine
- adjacent side / hypotenuse
- tangent
- opposite side / adjacent side
- measure of a central angle
- = measure of intercepted arc
- measure of an inscribed angle
- = 1/2 measure of intercepted arc
- measure of an interior angle
- = 1/2 sum of two intercepted arcs
- measure of an exterior angle
- = 1/2 difference of intercepted arcs
- when a tangent segment intersects a secant segment...
- tangent segment2 = outside times the whole thing.
- when two secant segments intersect outside the circle....
- the outside times the whole thing = the outside times the whole thing.
- lateral area of a prism
- perimeter of base x height
- lateral area of a cylinder
- 2(pi)rh
- total area of a prism and cylinder
- lateral area + 2 (base area)
- volulme of a prism
- base area x height
- volume of a cylinder
- (pi)r2h
- lateral area of a pyramid
- slant height (perimeter) / 2
- lateral area of a cone
- (pi)r x slant height
- total area of a cone and pyramid
- lateral area + base area
- area of a sphere
- 4(pi)r2
- volume of a sphere
- 4(pi)r3/3
- # of faces
- s + 2
- # of verticies
- 2s
- # edges
- 3s
- perimeter of a polygon
- sum of sides
- circumference of a circle
- (pi)d
- length of an arc
- m. of arc x circumference/360
- area of a parallelogram
- bh
- area of a rhombus, square, kite
- d x d/2
- area of a triangle
- bh/2
- area of a triangle (w/ semiperimeter)
-
square root of
s(s-a)(s-b)(s-c) - area of an equilateral triangle
- s2 / 4 (square root of 3)
- area of a trapezoid
- (b + b)h/2
- area of a circle
- (pi)r2
- area of a regular polygon
- ap/2
- area of a sector
- m. of arc x area of circle / 360
- area of a segment
- area of a sector - area of a triangle
- area of a triangle (w. sine)
- 1/2ab sine c