1300 Math Formulas by Golden Art.pdf
Formulas. 4.7. Periodicity of Trigonometric Functions. 4.8. Relations between Trigonometric Functions. 4.9. Addition and Subtraction Formulas. 4.10. Double ...
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Summary of Financial Math Formulas:
Summary of Financial Math Formulas: Simple Interest: = Interest Earned. = Principal/Present Value. = Annual Rate (decimal). = Time (years).
TNPSC – MATHS IMPORTANT FORMULAS
TNPSC – MATHS IMPORTANT FORMULAS is given by the formula P=l + 2r units. ... then the system of equations has infinitely many solutions.
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This eBook is a compilation of the math formulas that we highly recommend that you know for the GRE. It also includes some excerpts from the Magoosh GRE
FORMULAS FOR PERIMETER AREA
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TNPSC ² MATHS IMPORTANT FORMULAS
S.No Name of the
figure (ngah;)Figure
(glk;)Area (Sq. Units)
gug;gsT (r.myF)Perimetre (P)
Rw;wsT
1. Triangle
Kf;Nfhzk;
1 2 x b x h AB + BC + CA 2.Right triangle
Nrq;Nfhz
Kf;Nfhzk;
1 2 x b x h (base + height + hypotenuse) 3.Equilateral
triangle rkgf;fKf;Nfhzk;
3 4 a2 where 3 = 1.732)AB + BC + CA= 3A;
Altitude ,
h = 3 2 a units 4.Isosceles
triangle ,U rkgf;fKf;Nfhzk;
h x 22ah2a + 2
22ah5.
Scalene
triangle (mrkgf;fKf;Nfhzk;)
( )( )( )s s a s b s cWhere a =
2 a b cAB + BC + CA
= (a + b + c)6. Quadrilateral
(ehw;fuk;) 1 2 x d x (h1 + h2) AB + BC + CD + DA7. Parallelogram
(,izfuk;) b x h 2 x (a + b)8. Rectangle
(nrt;tfk;) l x b 2 x (l + b)9. Trapezium
(rhptfk;) 1 2 x h x (a + b) AB + BC + CD + DA10. Rhombus
(rha;rJuk;) 1 2 x d1 x d2 where d1, d2 are diagonals (%iytpl;lk;) 4a11. Square
a2 4aSquare (%iytpl;lk;) (d) (Diagonal length) =
2a No.Name of the
figure figureSurface
area tisgug;G Total surface area Volume 1.Right circular
cylinder(Neh;tl;l jpz;k cUis)2ʌrh 2ʌr(h + r) ʌr2h
2.Right circular
hollow cylinder(Neh;tl;l cs;sPlw;w cUis)2ʌh(R + r) 2ʌ(R + r)
(R ² r + h)ʌR2h ² ʌr2h =
ʌh(R2 ² r2) =
ʌh(R + r)(R ² r)
3.Right circular
cone (Neh;tl;l jpzkf; $k;G)ʌrl ʌr(l + r)
213rh 4.
Frustum of a
cone (,ilf;fz;lk;)221()3h R r Rr
5. Solid sphere
(jpz;kf;Nfhsk;)4ʌr2 ______
343r 6.
Hollow Sphere
(cs;sPlw;wNfhsk;)
------- ______334()3Rr
7. Solid hemisphere (jpz;k miuf;Nfhsk;)2ʌr2 3ʌr2
323r 8.
Hollow
Hemisphere
(cs;sPlw;w miuf;Nfhsk;)2ʌ(R2 + r2) 2ʌ(R2 + r2) +
ʌ(R2 - r2) =
ʌ(3R2 + r2)
gad;gLj;jg;gl;l cNyhfj;jpd; fd msT =332(3Rr
9. tl;lf;Nfhzg;gFjp $k;ghf khw;wg;gLfpwJ tisgug;G = tl;lf;Nfhzg;gFjpapd; gug;G 2360rl rSS u
tpy;ypd; ePsk;( l ) = $k;gpd; mbr;Rw;wsT(2ʌr) 10. Volume of water flows out through a pipe = (Cross section area x Speed x Time) Foha; topNa ghAk; jz;zPh; fd msT = (FWf;F ntl;Lg; gug;G XNtfk; X Neuk;)
11. No. of new solids obtained by recasting = Volumeof thesolidwhichismeltedVolumeof onesolidwhichismade
cUf;fp jahhpf;fg;gLk; Gjpa fd cUtq;fspd; vz;zpf;if cUffggll fd cUtjjpd fdmsT cUthffggll xU fd cUtjjpd fdmsT 12.Conversions:
1 m3 = 1000 litres, 1 d.m3 = 1 litre, 1000 cm3 = 1 litre, 1000 litres = 1 kl
1 kP3 = 1000yp> 1nlrp kP3 = 1yp> 1000 nr.kP3 = 1yp> 1000yp = 1 fp.yp
CUBE (fdr;rJuq;fs;)
CUBIOD (fdr; nrt;tfk;)
tl;lf;Nfhzg;gFjpapd; tpy;ypd; ePsk;
¾ xU tl;lf;Nfhzg;gFjpapd; ikaf;Nfhzk;
kw;Wk; Muk; r vdpy;> tpy;ypd; ePsk;2360lrS u
myFfshFk;. tl;lf;Nfhzg;gFjpapd; gug;gsT
¾ xU tl;lf;Nfhzg;gFjpapd; ikaf;Nfhzk;
kw;Wk; Muk; r vdpy;> tl;lf;Nfhzg;gFjpapd; gug;gsT 2360rSu
rJu myFfshFk;.¾ tl;lf;Nfhzg;gFjpapd; gug;gsT =
2 lr rJu myFfs; tl;lf;Nfhzg;gFjpapd; Rw;wsT
¾ tpy;ypd; ePsk; l, tl;lf;Nfhzg;gFjpapd; Muk; r vdpy;> mjd; Rw;wsTP=l + 2r myFfs;.
Length of Arc
¾ If
is the central angle and r is the radius of a sector, then its arc length is given by2360lrS u
units. Area of a Sector
¾ If
is the central angle and r is the radius of a sector, then the area of the sector is 2quotesdbs_dbs47.pdfusesText_47[PDF] Maths fraction equation
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