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parallelogram
a quadrilateral with both pairs of opposite sides parallel
the height of a parallelogram is the perpendicular distance between any two parallel bases
area of a region
the sum of the areas of its non-overlapping parts
area of a parallelogram
A=bh
area of a triangle
A=1/2(bh)
trapezoid
a quadrilateral with one pair of opposite sides parallel
area of a trapezoid
A=1/2(h)(b1+b2)
rhombus
a parallelogram with all sides congruent
kite
a quadrilateral with 2 sets of consecutive sides congruent
area for rhombus & kite
A=1/2(d1)(d2)
circumference
the distance around the circle
C=pi(d)
area of a circle
A=pi(r²)
sector
a region bound by a central angle and its intercepted major or minor arc (slice of pizza)
area of a sector
A/pi(r²) = x degrees/360
Heron’s Formula
A=square root of s(s-a)(s-b)(s-c)
s=semiperimeter=1/2(perimeter)
formula for if given two sides of a triangle and the included angle
A=1/2(ab)sin(C)
apothem
a segment drawn from the center of the regular polygon perpendicular to a side of the polygon
area of a regular n-gon
A=1/2(ap)