Math 2: Formulas

Equation of a Circle

(x-h)^2 + (y-k)^2 = r^2

i^2 is the same thing as

-1

Volume of a Cylinder

V = (3.14)r^2 H

Volume of a Cone

V = (3.14)r^2H/3

Volume of a prism

V = Bh where B = area of the base

Volume of a Pyramid

V = Bh/2

Midpoint Formula

Xm = X2 + X1/2 Ym = Y2 + Y1/2

Pythagorean Theorem

a^2 + b^2 = c^2

Joint Variation

both direct and inverse

For circles, what does (h,k) stand for

center

Distance Formula

d =√(X2 - X1)^2 + (Y2 - Y1)^2

Volume of a Sphere

4(3.14)r^3/3

Convert ³√5^2 to exponential form

5^2/3

Area of a Kite

A = (d1)(d2)/2

Area of a Circle

A = 3.14r^2

Area of a Triangle

A = bh/2

Area of a Trapezoid

A = h(b1 + b2)/2

Area of Parallelograms

A = lw or A = bh

Circumference of a Circle

C = (3.14)diameter

Perimeter of a Rectangle

P = 2L + 2W or P = 2 (L + W)

Surface Area of a Circle

SA = 4(3.14)r^2

SOHCAHTOA

Sin = opposite/hypotenuse Cos = adjacent/hypotenuse Tan = opposite/adjacent

Compounded Growth (interest)

y = P (1+r/n) ^nt

Continuous Growth (interest)

y = Pe^rt

Half-Life

y = a (0.5)^t/h

Exponential Growth & Decay

y = a (1±r)^t

Inverse Variation

y = k/x

Direct Variation

y = kx

Convert 8^4/2

√8^4