Area

 
   

Rectangles
Squares
Triangles
Parallelograms
Rhombuses
Trapezoids
Circles and sectors
Other polygons
Quiz on Area


Rectangles

Rectangle Area

The area A of any rectangle is equal to the product of the length l and the width w.

Formula: A = lw

Rectangle Figure

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Squares

Square Area Theorem

The area A of any square is equal to the square of the length s of a side.

Formula: A = s2

Square Figure

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Triangles

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

Triangle Figure

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Parallelograms

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

Parallelogram Figure

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Rhombuses

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

Rhombus Figure

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Trapezoids

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)

Trapezoid Figure

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Circles Sectors

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

Circle Figure

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)

Sector Figure

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Other Polygons

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

Regular Pentagon Figure

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