SAT Geomotry and Trigonmotry Formulas

Aera of a Circle

2πr or πd

Aera/surface aera of a Right Rectangular Prism

A=2(wl+hl+hw)

Aera of Cone

A=πr²+πrh

Aera of a Trapizoid

A=a+b/2 (h)

Aera of a pyramid

A=lw+l √(w/2)²+h² +w√(1/2)²+h²

Aera of a triangle

A=1/2(bh)

Aera of a sphere

A=4πr²

Aera of a cube

A=6s²

Aera of a Rectangle

A=lw

Aera of a Cylinder

A=2πrh+2πr²

Volume of a Cube

V=s³

Volume of a Cylinder

V=πr²h

Volume of a Sphere

V=4/3πr³

Volume of a Cone

V=1/3πr²h

Volume of Pyramid

V=1/3(bh)

Volume of Rectangular Prism/box

V=lwh

Volume of Triangular Prism

V=(1/2b+h(triangle)*h(prism)

Volume of Trapeziod Prism

V=1/2(b1+b2)h(trapezoid) * height of prism

Percent increase

new-original/original (100)

Percent decrease

Original-new/original (100)

Compound Intrest and when to use?

Formulas:

A=P(1+r/n)^nt can be simplified to A=P(1+r)^t

you use this formula when an percentages is being applied to the previous amounts over time, it is also exponential and not linear like simple intrest. “Increases by 5 percent each year” use compound.

Simple intrest

A=P(1+rt) “increases by 20$ per year”, this is also linear not exponential growth

Slope when your give 2 points on a line

Y2-y1/x2-x1

ax² + bx + c = 0 or y = ax² + bx + c In this what’s the y int

C is y int and if a>0 parabola opens up, if 0<a parabola opens down

Vertex form

y = a(x – h)² + k, where the vertex is at the point (h, k)

Mean?

Total=average times number of items

Number of degrees in an arc? Radians?

360 and 180 for half circle. Pi for half circle, and 2pi for full circle

SoCaToa

Standard form equation of a line?

Ax + By = C

a/b is the slope.

C/b is the y-int

Quadratics and solutions

Sum of solutions: -b/a

Product of solutions: c/a

Area of parallelogram?

A=bh