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 = $2 \pi r^{2} + 2 \pi rh$

Contributors and Attributions

Lynn Marecek (Santa Ana College) and MaryAnne Anthony-Smith (Formerly of Santa Ana College). This content is licensed under Creative Commons Attribution License v4.0 "Download for free at http://cnx.org/contents/fd53eae1-fa2...49835c3c@5.191."

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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

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 = \(2 \pi r^{2} + 2 \pi rh\)