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12.3: Geometric Formulas

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Table C1 - 2 Dimensions

Name Shape Formulas
Rectangle

Perimeter: P = $$2l + 2w$$

Area: A = $$lw$$

Square

Perimeter: P = 4s

Area: A = s2

Triangle

Perimeter: P = a + b + c

Area: A = $$\frac{1}{2}$$bh

Sum of Angles: A + B + C = 180°

Right Triangle

Pythagorean Theorem: a2 + b2 = c2

Area: A = $$\frac{1}{2}$$ab

Circle

Circumference: C = 2$$\pi$$r or C = $$\pi$$d

Area: A = $$\pi$$r2

Parallelogram

Perimeter: P = 2a + 2b

Area: A = bh

Trapezoid

Perimeter: P = a + b + c + B

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

Table C2 - 3 Dimensions

Name Shape Formulas
Rectangular Solid

Volume: V = $$lwh$$

Surface Area: SA = $$2lw + 2wh + 2hl$$

Cube

Volume: V = s3

Surface Area: SA = 6s2

Cone

Volume: V = $$\frac{1}{3} \pi r^{2} h$$

Surface Area: SA = $$\pi r^{2} + \pi r \sqrt{h^{2} + r^{2}}$$

Sphere

Volume: V = $$\frac{4}{3} \pi r^{3}$$

Surface Area: SA = $$4 \pi r^{2}$$

Right Circular Cylinder

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

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