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All in One                                 CIRCULAR


                  IMPORTANT TERMS              1. Definition :          1                                          IMPORTANT FORMULAE
                                                                                              r       r
                                                                        radian
                                                                                                                      θ       IN           RADIAN
    1                 jejari
                                  Minor        2. Important relationship
                                 segment                                                          r                                    A
                                                              o
                O diameter                             180        = π radian
                                   major                             π                                                             r
              chord                                      1
                                                              o
                                                                  = 180 radian                                                                      C
                                                                                                                              O θ
                                 segment
                                                                                  0
                                                                           180                                                         r
                  tangent                                1        radian =                                                                      B
                                                                            π
                               Minor arc
                                               3. To change the unit .
    2.
                                                                                                                                           ( s AB ) = r
                                                                                      0
                                                   Example : Convert 30 to radian:-                       1.    Length of arc AB
                               Major arc
                                                        0
                                                                 π
                               Minor sector           30 = 30 x 180 radian
              O
                               Major sector      OR using calculator casio fx 570 ms)
                                                           30     shift   DRG 1                       =    3. Perimeter of segment ABC
                                                     i)      Change to radian mode
                                                        ii)
                                                                                                                     =   sAB + chord AB
                                                                                                                     = r + 2 r sin
                  H                        r
                      BASIC FORMULA
                                           θ   4. To find the sin , cos or tan for the
          A                                                                                               4.     Area of triangle OAB             = r   2
                                           r       angle in
O                                                                                                         sin
                                                   Radian using calculator
                  θ
                                                   Example : Find sin 1.5 radian                          5.    Area of sector OAB                  =       r   2


                                                    Method 1 : If in radian mode .
     sin θ    = O/H
                                SAB =                                                                     6. Area of segment ABC
     cos θ = A / H              A =                      sin                1.5           =                       = r 2( - sin )


                                                 Method 2: If in degree mode
                                                 Sin      1.5       shift     DRG         2   =
Circular measures

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Circular measures

  • 1. All in One CIRCULAR IMPORTANT TERMS 1. Definition : 1 IMPORTANT FORMULAE r r radian θ IN RADIAN 1 jejari Minor 2. Important relationship segment r A o O diameter 180 = π radian major π r chord 1 o = 180 radian C O θ segment 0 180 r tangent 1 radian = B π Minor arc 3. To change the unit . 2. ( s AB ) = r 0 Example : Convert 30 to radian:- 1. Length of arc AB Major arc 0 π Minor sector 30 = 30 x 180 radian O Major sector OR using calculator casio fx 570 ms) 30 shift DRG 1 = 3. Perimeter of segment ABC i) Change to radian mode ii) = sAB + chord AB = r + 2 r sin H r BASIC FORMULA θ 4. To find the sin , cos or tan for the A 4. Area of triangle OAB = r 2 r angle in O sin Radian using calculator θ Example : Find sin 1.5 radian 5. Area of sector OAB = r 2 Method 1 : If in radian mode . sin θ = O/H SAB = 6. Area of segment ABC cos θ = A / H A = sin 1.5 = = r 2( - sin ) Method 2: If in degree mode Sin 1.5 shift DRG 2 =