## Areas of Plane Figures Geometry Chapter 11

##### Created by:

cslowik  on March 21, 2011

##### Description:

Vocabulary, postulates, theorems, and formulas for Chapter 11 Geometry.

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Last Message: 26 months ago
Topspin : hey thanks chris!

# Areas of Plane Figures Geometry Chapter 11

 Area of a SquareA = s²
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#### Definitions

Area of a Square A = s²
Area Congruence Postulate If two figures are congruent, then they have the same area
Area Addition Postulate The area of a region is the sum of the areas of its non-overlapping parts
Area of a Rectangle A = bh
Area of a Parallelogram A = bh
Area of a Triangle A = ½bh
Area of a Rhombus A = ½d₁d₂
Area of a Trapezoid A = ½h(b₁ + b₂)
Center of a Regular Polygon The center of the circumscribed circle
Radius of a Regular Polygon the distance form the center to a vertex
Central Angle of a Regular Polygon An angle formed by two radii drawn to consecutive vertices
Apothem of a Regular Polygon The (perpendicular) distance form the center of a polygon to a side
Area of a Regular Polygon A = ½ap
Circumference The perimeter of a circle
Circumference of a Circle C = 2πr
Area of a Circle A = πr²
Theorem 11-7 If the scale factor of two similar figures is a:b, then:
1) The ratio of any of their corresponding lengths is also a:b
2) The ratio of their corresponding area is a²:b²
3) The ratio of their volumes is a³:b³
Area of a Sector x/360πr²
Length of an Arc x/3602πr

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