# SAT math: GEOMETRY (elite formulas)

## 35 terms

### s(root3)

Diagonal of a cube with side s

### 180(n-2)

total degrees in n-sided polygon

### s^2(root3)/4

area of an equilateral triangle with side s

### 3(root3)

diagonal of a cube with side 3

### root3(root3)= 3

diagonal of a cube with side root3

### 180(100-2)= 17640

total degrees in 100 sided polygon

### 180(200-2)= 35640

total degrees in 200 sided polygon

### 3^2(root3)/4= 9(root3)/4

area of an equilateral triangle with side 3

### 2^2(root3)/4= root3

area of an equilateral triangle with side 2

### x^2/2

area of a square with a diagonal of x:

### 1^2/2= 1/2

area of a square with a diagonal of 1

### 4^2/2= 8

area of a square with a diagonal of 4

### 3^2/2= 9/2

area of a square with a diagonal of 3

### 2^2/2= 2

area of a square with a diagonal of 2

### 4(pi)r^2

formula for the surface area of a sphere

### 4(pi)2^2= 16(pi)

surface area of a sphere with radius 2

### 4(pi)3^2= 36(pi)

surface area of a sphere with radius 3

### 5-12-13

pythagorean triple beginning with 5

### 8-15-17

pythagorean triple beginning with 8

### 7-24-25

pythagorean triple beginning with 7

### 20-21-29

pythagorean triple beginning with 20

### 9-40-41

pythagorean triple beginning with 9

### 12-35-37

pythagorean triple beginning with 12

### (d1*d2)/2

Area of a rhombus, given diagonals d

### (1*2)/2= 1

area of a rhombus, given diagonals, 1 and 2

### (3*6)/2= 9

area of a rhombus, given diagonals, 3 and 6

### h(b1+b2)/2

area of a trapezoid, given bases b, height h

### 4(1+2)/2= 6

area of a trapezoid, given bases, 1 and 2, height 4

### 5(2+3)/2= 15

area of a trapezoid given bases 2 and 3, height 5

### b*h

volume of a cylinder and prism

### 1/3*bh

volume of a cone and pyramid

### 4/3(pi)r^3

volume of a sphere

### (4/3)(pi)3^3= 36(pi)

volume of a sphere given radius 3

### s(root3)/2

Height of equilateral triangle with side s

### rhombus

parallelogram with equal sides