Coloured Circular Sectors | Desmos

Expression 33: polygon left parenthesis, "S" , left parenthesis, "a" left bracket, 21 , right bracket , "b" left bracket, 21 , right bracket , right parenthesis , left parenthesis, "a" left bracket, 22 , right bracket , "b" left bracket, 22 , right bracket , right parenthesis , right parenthesis

33

Expression 34: polygon left parenthesis, "S" , left parenthesis, "a" left bracket, 22 , right bracket , "b" left bracket, 22 , right bracket , right parenthesis , left parenthesis, "a" left bracket, 23 , right bracket , "b" left bracket, 23 , right bracket , right parenthesis , right parenthesis

34

Expression 35: polygon left parenthesis, "S" , left parenthesis, "a" left bracket, 23 , right bracket , "b" left bracket, 23 , right bracket , right parenthesis , left parenthesis, "a" left bracket, 24 , right bracket , "b" left bracket, 24 , right bracket , right parenthesis , right parenthesis

35

Expression 36: polygon left parenthesis, "S" , left parenthesis, "a" left bracket, 24 , right bracket , "b" left bracket, 24 , right bracket , right parenthesis , left parenthesis, "a" left bracket, 25 , right bracket , "b" left bracket, 25 , right bracket , right parenthesis , right parenthesis

36

Circular Segments

37

Expression 38: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, 0 less than or equal to "t" less than or equal to "P" left bracket, 2 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

38

Expression 39: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 2 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 3 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

39

Expression 40: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 3 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 4 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

40

Expression 41: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 4 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 5 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

41

Expression 42: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 5 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 6 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

42

Expression 43: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 6 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 7 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

43

Expression 44: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 7 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 8 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

44

Expression 45: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 8 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 9 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

45

Expression 46: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 9 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 10 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

46

Expression 47: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 10 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 11 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

47

Expression 48: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 11 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 12 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

48

Expression 49: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 12 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 13 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

49

Expression 50: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 13 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 14 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

50

Expression 51: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 14 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 15 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

51

Expression 52: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 15 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 16 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

52

Expression 53: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 16 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 17 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

53

Expression 54: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 17 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 18 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

54

Expression 55: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 18 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 19 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

55

Expression 56: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 19 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 20 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

56

Expression 57: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 20 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 21 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

57

Expression 58: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 21 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 22 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

58

Expression 59: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 22 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 23 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

59

Expression 60: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 23 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 24 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

60

Expression 61: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos left parenthesis, "t" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "R" sin left parenthesis, "t" plus phi , right parenthesis left brace, "P" left bracket, 24 , right bracket less than or equal to "t" less than or equal to "P" left bracket, 25 , right bracket , right brace , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

61

Circle

62

Expression 63: left parenthesis, "S" Subscript, 1 , Baseline plus "R" cos "t" , "S" Subscript, 2 , Baseline plus "R" sin "t" , right parenthesis

domain t Minimum: 0

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

domain t Maximum: tau

63

Expression 64: left parenthesis, "S" Subscript, 1 , Baseline plus "t" "R" cos left parenthesis, "P" plus phi , right parenthesis , "S" Subscript, 2 , Baseline plus "t" "R" sin left parenthesis, "P" plus phi , right parenthesis , right parenthesis

0

domain t Minimum:

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

1

domain t Maximum:

64

Points

65

68

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