12.3: Geometric Formulas
Table C1 - 2 Dimensions
| Name | Shape | Formulas |
|---|---|---|
| Rectangle |
Perimeter: P = \(2l + 2w\) Area: A = \(lw\) |
|
| Square |
Perimeter: P = 4s Area: A = s 2 |
|
| Triangle |
Perimeter: P = a + b + c Area: A = \(\dfrac{1}{2}\)bh Sum of Angles: A + B + C = 180° |
|
| Right Triangle |
Pythagorean Theorem: a 2 + b 2 = c 2 Area: A = \(\dfrac{1}{2}\)ab |
|
| Circle |
Circumference: C = 2\(\pi\)r or C = \(\pi\)d Area: A = \(\pi\)r 2 |
|
| Parallelogram |
Perimeter: P = 2a + 2b Area: A = bh |
|
| Trapezoid |
Perimeter: P = a + b + c + B Area: A = \(\dfrac{1}{2}\)(B + b)h |
Table C2 - 3 Dimensions
| Name | Shape | Formulas |
|---|---|---|
| Rectangular Solid |
Volume: V = \(lwh\) Surface Area: SA = \(2lw + 2wh + 2hl\) |
|
| Cube |
Volume: V = s 3 Surface Area: SA = 6s 2 |
|
| Cone |
Volume: V = \(\dfrac{1}{3} \pi r^{2} h\) Surface Area: SA = \(\pi r^{2} + \pi r \sqrt{h^{2} + r^{2}}\) |
|
| Sphere |
Volume: V = \(\dfrac{4}{3} \pi r^{3}\) Surface Area: SA = \(4 \pi r^{2}\) |
|
| Right Circular Cylinder |
Volume: V = \(\pi r^{2} h\) Surface Area: SA = \(2 \pi r^{2} + 2 \pi rh\) |
Contributors and Attributions
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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 ."