Chapter 11 Area Of Polygons And Circles
Irregular Figure
A figure which cannot be classified into a specific shape
Irregular Polygon
A polygon that is not regular
Auxiliary line
A segment or line drawn in a figure to aid with analyzing it
Sector
Area in a circle bounded by a central angle and intercepted arc of 2 radii and an intercepted arc
Segment [Circle]
Area in a circle bounded by a chord and arc
Radius^2[π]
Area of a circle
[a^2]2√3
Area of a regular hexagon with given apothem a = apothem
1.5[r^2]√3
Area of a regular hexagon with given radius r = radius
0.5ApothemPerimeter
Area of a regular polygon
360x/r^2[π]
Area of a sector of a circle
s - t
Area of a segment
0.5Height[Base1+Base2]
Area of a trapezoid
0.5BaseHeight
Area of a triangle
0.25[Side^2]√3
Area of an equilateral triangle
0.5Diagonal1Diagonal2
Area of figures with perpendicular diagonals
BaseHeight
Area of parallelogram
#[a^2]Tan[360/2#]
Area of regular polygon with given apothem and number of sides # = number of sides a = apothem
#[r^2]Cos[360/2#]Sin[360/2#]
Area of regular polygon with given radius and number of sides # = number of sides r = radius
Y/X
Geometric probability is probability that involves geometric measure. Formula for the geometric probability of something when X = possible events Y = desired outcome
The Surveyor's Method
Method used to find the area of any polygon using the coordinates of its vertices
Non-Overlapping Parts
Postulate: The area of a region is the sum of its ________
Equal
Postulate: if 2 figures are congruent, then their areas are _____
Apothem
Segment from the center of a circle to a chord