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Rectangles
Squares
Triangles
Parallelograms
Rhombuses
Trapezoids
Circles and sectors
Other polygons
Quiz on Area
Rectangle Area
The area A of any rectangle is equal to the product
of the length l and the width w.
Formula: A = lw
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Square Area Theorem
The area A of any square is equal to the square of the
length s of a side.
Formula: A = s2
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Triangle Area Theorem
The area A of any triangle is equal to one-half the product of
any base b and corresponding height h.
Formula: A = .5bh
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Parallelogram Area Theorem
The area A of any parallelogram is equal to the product of
any base b and the corresponding height h.
Formula: A = bh
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Rhombus Area Theorem
The area A of any rhombus is equal to one-half the product of
the lengths d1 and d2 of its diagonals.
Formula: A = .5d1d2
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Trapezoid Area Theorem
The area A of any trapezoid is equal to one-half the product of
the height h and the sum of the bases,
b1 and b2.
Formula: A = .5h(b1 + b2)
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Circle Area Postulate
The area A of any circle is equal to the product
of PI and the square of the radius r.
Formula: A = (PI)r2
Sector Area Theorem
The area A of any sector with an arc that has degree
measure n and with radius r is equal to the
product of the arc's measure divided by 360 multiplied by PI times
the square of the radius.
Formula: A = (n/360)((PI)r2)
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Regular polygons are any polygons that are equilateral
and equiangular.
Regular Polygon Area Theorem
The area A of any regular polygon with perimeter
P and apothem of measure a is equal to one-half
the product of the perimeter and the apothem.
Formula: A = .5aP
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