Three Circles in a Semicircle | Desmos

Expression 20: "M" Subscript, 1 , Baseline equals "C" Subscript, 1 , Baseline plus StartFraction, "R" Subscript, 1 , Baseline Over "R" , EndFraction left parenthesis, negative "C" Subscript, 1 , Baseline , right parenthesis

equals

3.7 2 7 9 2 2 0 6 1 3 6

20

Expression 21: "M" Subscript, 2 , Baseline equals "C" Subscript, 2 , Baseline plus StartFraction, "R" Subscript, 1 , Baseline Over "R" , EndFraction left parenthesis, negative "C" Subscript, 2 , Baseline , right parenthesis

equals

3.7 2 7 9 2 2 0 6 1 3 6

21

Expression 22: "N" Subscript, 1 , Baseline equals "O" Subscript, 1 , Baseline

equals

0

22

Expression 23: "N" Subscript, 2 , Baseline equals "R" minus "R" Subscript, 2 , Baseline

equals

7.4 5 5 8 4 4 1 2 2 7 2

23

Expression 24: "P" Subscript, 1 , Baseline equals "C" Subscript, 1 , Baseline plus StartFraction, 2 "R" Subscript, 1 , Baseline Over "R" , EndFraction left parenthesis, negative "C" Subscript, 1 , Baseline , right parenthesis

equals

1.0 9 1 8 8 3 0 9 2 0 4

24

Expression 25: "P" Subscript, 2 , Baseline equals "C" Subscript, 2 , Baseline plus StartFraction, 2 "R" Subscript, 1 , Baseline Over "R" , EndFraction left parenthesis, negative "C" Subscript, 2 , Baseline , right parenthesis

equals

1.0 9 1 8 8 3 0 9 2 0 4

25

Graphs

26

Expression 27: polygon left parenthesis, "L" , "M" , right parenthesis

27

Expression 28: polygon left parenthesis, "L" , "P" , right parenthesis

28

Expression 29: polygon left parenthesis, "M" , "O" , right parenthesis

29

Expression 30: polygon left parenthesis, "C" , "M" , right parenthesis

30

Expression 31: left parenthesis, "R" cos "t" , "R" sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 180

31

Expression 32: left parenthesis, "R" cos "t" , "R" sin 0 , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 180

32

Expression 33: left parenthesis, "N" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "N" Subscript, 2 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

33

Expression 34: left parenthesis, "N" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "N" Subscript, 2 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

34

Expression 35: left parenthesis, "M" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "M" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

35

Expression 36: left parenthesis, "M" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "M" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

36

Expression 37: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

37

Expression 38: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

38

Expression 39: left parenthesis, "N" Subscript, 1 , Baseline minus "t" "R" Subscript, 2 , Baseline , "N" Subscript, 2 , Baseline , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

1

domain t Maximum:

39

Points

40

53

powered by

powered by

O

A

B

C

L

M

N

P

Start black, "R" Subscript, 1 , Baseline End black

Start black, "R" Subscript, 1 , Baseline End black

Start black, "R" Subscript, 2 , Baseline End black

to save your graphs!

New Blank Graph

Examples

Lines: Slope Intercept Form

example

Lines: Point Slope Form

example

Lines: Two Point Form

example

Parabolas: Standard Form

example

Parabolas: Vertex Form

example

Parabolas: Standard Form + Tangent

example

Trigonometry: Period and Amplitude

example

Trigonometry: Phase

example

Trigonometry: Wave Interference

example

Trigonometry: Unit Circle

example

Conic Sections: Circle

example

Conic Sections: Parabola and Focus

example

Conic Sections: Ellipse with Foci

example

Conic Sections: Hyperbola

example

Polar: Rose

example

Polar: Logarithmic Spiral

example

Polar: Limacon

example

Polar: Conic Sections

example

Parametric: Introduction

example

Parametric: Cycloid

example

Transformations: Translating a Function

example

Transformations: Scaling a Function

example

Transformations: Inverse of a Function

example

Statistics: Linear Regression

example

Statistics: Anscombe's Quartet

example

Statistics: 4th Order Polynomial

example

Lists: Family of sin Curves

example

Lists: Curve Stitching

example

Lists: Plotting a List of Points

example

Calculus: Derivatives

example

Calculus: Secant Line

example

Calculus: Tangent Line

example

Calculus: Taylor Expansion of sin(x)

example

Calculus: Integrals

example

Calculus: Integral with adjustable bounds

example

Calculus: Fundamental Theorem of Calculus

example

Terms of Service|Privacy Policy