nomial Expresssions FormulasMonomial 3,2x,23yetc.Binomial (2x+3y),(3x−2y)etc.Trinomial x2+4x+5etc.Linear Polynomial x+2,3x+5etc.Quadratic Polynomial ax2+bx+cetc.Cubic Polynomial x3+4x2+5etc.Biquadratic Polynomial x4+5x3+2x2+32. Coordinate Geometry FormulasEquation of a line ax+by+c=0Equation of a circle x2+y2=r2Here ‘r’ is the radius of the circleEquation of a parabola y2=4axEquation of an ellipse x2a2+y2b2=1Equation of hyperbola x2a2−y2b2=1Distance FORMULA D=⎷[(x2−x1)2+(y2−y1)2]ANGLE between TWO lines θ=tan−1(m2−m11+m1m2)3. Circles FormulasArea of circle πr2Diameter of circle 2rCircumference of circle 2πrSector angle of circle θ=(180×l)(πr)Area of the sector (θ2)×r2Area of the circular ring =π×(R2−r2)θ=Angle between two radiiR=Radius of outer circler=Radius of inner circle4. Surface Area and Volume FormulasCuboidVolume of Cuboid (LSA) l×b×hLateral Surface Area of Cuboid (LSA) 2h(l+b)Total Surface Area of Cuboid (TSA) 2(lb+bh+hl)CubeVolume of Cube x3Lateral Surface Area of Cube (LSA) 4x2Total Surface Area of Cube (TSA) 6x2SphereVolume of Sphere 43×πr3Lateral Surface Area of Sphere (LSA) 4πr2Total Surface Area of Sphere (TSA) 4πr2Right Circular CylinderVolume of Right Circular Cylinder πr2hLateral Surface Area of Right Circular Cylinder (LSA) 2×(πrh)Total Surface Area of Right Circular Cylinder (TSA) 2πr×(r+h)Right PyramidVolume of Right Pyramid 13×[Area of the Base]×hLateral Surface Area of Right Pyramid (LSA) 12×p×LTotal Surface Area of Right Pyramid (TSA) LSA+[Area of the Base]Right Circular ConeVolume of Right Circular Cone 13×(πr2h)Lateral Surface Area of Right Circular Cone (LSA) πrlTotal Surface Area of Right Circular Cone (TSA) πr×(r+L)HemisphereVolume of Hemisphere 23×(πr3)Lateral Surface Area of Hemisphere (LSA) 2πr2Total Surface Area of Hemisphere (TSA) 3πr2PrismVolume of Prism B×hLateral Surface Area of Prism (LSA) p×hTotal Surface Area of Prism (TSA) π×r×(r+L)l=Length, h=Height,b=Breadthr=Radius of SphereL=Slant Height5. Statistics FormulasMean ¯¯¯x∑xnx=Sum of the Valuesn=Number of ValuesStandard DEVIATION, σσ=⎷∑ni=1(xi−¯¯¯x)2N−1xi=Terms Given in the Data,¯¯¯x=Mean,N=Total Number of TermsRange RR=[Largestvalue]−[Smallestvalue]Variance, σσ2=∑xi−¯¯¯xNx=Item given in the data,¯¯¯x=Mean of the data,N=Total number of terms6. Heron's Formula PerimeterRight-angle triangle P=b+h+dHeight=h,Base=b,Hypotenuse=d,Isosceles right-angle triangle p=2a+a√2a=Equal SidesTriangle with different sides a,b,cP=a+b+cSquare with side aP=4aRectangle P=2L+2BLength=L,Breadth=BParallelogram withtwo sides a and b P=2a+2bRhombus with diagonalsd1 and d2P=2√d21+d22 AreaRight-angle triangle A=12×b×hIsosceles right-angle triangle A=12×a2Triangle with different sides a,b,cA=2√s(s−a)(s−b)(s−c)Here, s=a+b+c2Square with side aA=a2Rectangle A=L×BParallelogram with two sides a and b A=Base×HeightRhombus with DIAGONALS d1 and d2A=12d1d27. Probability FormulasProbability=No. of Favourable OutcomesTotal No. of Outcomes