12.3: Geometric Formulas

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    Table C1 - 2 Dimensions

    Name Shape Formulas
    Rectangle CNX_BMath_Figure_AppD_001.jpg

    Perimeter: P = \(2l + 2w\)

    Area: A = \(lw\)
    Square CNX_BMath_Figure_AppD_002.jpg

    Perimeter: P = 4s

    Area: A = s2
    Triangle CNX_BMath_Figure_AppD_003.jpg

    Perimeter: P = a + b + c

    Area: A = \(\dfrac{1}{2}\)bh

    Sum of Angles: A + B + C = 180°
    Right Triangle CNX_BMath_Figure_AppD_004.jpg

    Pythagorean Theorem: a2 + b2 = c2

    Area: A = \(\dfrac{1}{2}\)ab
    Circle CNX_BMath_Figure_AppD_005.jpg

    Circumference: C = 2\(\pi\)r or C = \(\pi\)d

    Area: A = \(\pi\)r2
    Parallelogram CNX_BMath_Figure_AppD_006.jpg

    Perimeter: P = 2a + 2b

    Area: A = bh
    Trapezoid CNX_BMath_Figure_AppD_007.jpg

    Perimeter: P = a + b + c + B

    Area: A = \(\dfrac{1}{2}\)(B + b)h

    Table C2 - 3 Dimensions

    Name Shape Formulas
    Rectangular Solid CNX_BMath_Figure_AppD_008.jpg

    Volume: V = \(lwh\)

    Surface Area: SA = \(2lw + 2wh + 2hl\)
    Cube CNX_BMath_Figure_AppD_009.jpg

    Volume: V = s3

    Surface Area: SA = 6s2
    Cone CNX_BMath_Figure_AppD_010.jpg

    Volume: V = \(\dfrac{1}{3} \pi r^{2} h\)

    Surface Area: SA = \(\pi r^{2} + \pi r \sqrt{h^{2} + r^{2}}\)
    Sphere CNX_BMath_Figure_AppD_011.jpg

    Volume: V = \(\dfrac{4}{3} \pi r^{3}\)

    Surface Area: SA = \(4 \pi r^{2}\)
    Right Circular Cylinder CNX_BMath_Figure_AppD_012.jpg

    Volume: V = \(\pi r^{2} h\)

    Surface Area: SA = \(2 \pi r^{2} + 2 \pi rh\)

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