mathematics cxc 2011

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  • 8/11/2019 Mathematics CXC 2011

    1/12

    LIST OF FO U L E

    Volumeof aprism

    Volumeofcylinder

    Volume

    of

    arightpy ramid

    Circumference

    Arc length

    Area ofacircle

    Area ofasector

    Area of

    trapezium

    Rootsof quadraticequations

    Trigonometricratios

    Area of triangle

    Sinerule

    Cosineru le

    Page2

    v =

    Ah whe

    reA isthearea

    of

    across-sectionandh istheperpendicular

    length.

    v=n

    rh

    wherer istheradiusofthebaseandh istheperpendicularheight.

    .

    V = }Ah whereA is the a

    rea

    of thebase andh istheperpendicularheight.

    C

    =

    2nr

    wh ere

    r

    is theradi us

    of

    thecircle.

    s

    =

    x

    2nr where8 isthe anglesubtended bythearc,measuredin

    360

    degrees.

    A = ttr where r isthe radiusofthecircle .

    8

    A =360 x

    2

    where

    8 istheangle

    of

    the sector,measuredindegrees.

    A

    =

    t a + b h wherea and b are the lengths

    of

    thepara llelsidesandh is

    theperpendiculardistancebetweentheparallelside s.

    I fax

    2

    + bx + c = 0,

    -b

    .J

    b

    2

    -

    4ac

    then x

    = -

    2a

    sin

    8 =

    oppositeside

    hypotenuse

    Opposite

    cos

    8 =

    adjacent side

    hypotenuse Adjacent

    tan8 = oppositeside

    adjacent side

    Area

    of

    II= 1bh whereb isthe length of theba seandh is

    2

    theperpendicu larheight

    AreaofMBC

    =

    t ab sin C

    r c a O

    h

    C

    A

    s

    -a)

    s

    -b)

    wheres

    2