Perimeter

rectangle

P = 2l + 2w    or    P = 2(l + w)

Circumference

circle

C = 2πr    or  C = πd

Area

rectangle

A = lw    or    A = bh

triangle

A = ½ bh   or    A = bh

                                 2

trapezoid

A = ½ (b₂ + b₂) h  or A = (b₂ + b₂)h

                                               2

circle

 A=πr²

Surface Area

cube

S = 6s²

cylinder (lateral)

S = 2πrh

cylinder (total)

S = 2πrh + 2πr²  or  S = 2πr(h + r)

cone (lateral)

S = πrl

cone (total)

S = πrl + πr²   or   S = πr (l + r)

sphere

S = 4πr³

Volume

prism or cylinder

V = Bh^*

Pyramid or Cone

V = 1/3 Bh^*

Sphere

V = 4/3πr³

* B represents the area of the Base of a solid figure.

Pi

π

π = 3.14    or   π = 22

                                7

Pythagorean Theorem

a² + b² = c²

Distance Formula

d = √ (X₂ – X ₁)² + (Y₂ – Y₁)²

Slope of a Line

      m =

Y₂ – Y₁

 X₂ –X₁

Midpoint Formula

M =

  X₁ + X₂ ,  Y₁ + Y₂

        2             2

Quadratic Formula

x =

-b + √  b² – 4ac

          2a

Slope- Intercept Form of an Equation

y  = mx + b

Point – Slope Form of an Equation

y – y¹  = m (x-x¹)

Standard Form of  an Equation

Ax = By = C

Simple Interest Formula

I = prt