# Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )

## Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )

#### Important Maths Formulas

(a ± b)2 = a2 ± 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

(a + b + c + d)2 = a2 + b2 + c2 + d2 + 2(ab + ac + ad + bc + bd + cd)

#### Geometry formulas

Perimeter ( ചുറ്റളവ് )

Perimeter of a square: P=4a

a: length of one side

Perimeter of a rectangle: P=2(l+w)

l: length

w: width

Perimeter of a triangle: P=a+b+c

a, b, and c: lengths of the 3 sides

#### Area ( വിസ്തീര്‍ണ്ണം )

Area of a square: A=a2

a: length of one side

Area of a rectangle: A=wl

l: length

w: width

Area of a triangle: A=(b × h)/2

b: length of the base

h: length of the height

Area of a trapezoid: A=(b1 + b2) × h/2

b1 and b2: parallel sides or the bases

h: length of the height

#### volume ( വ്യാപ്‌തി )

Volume of a cube: V=a3

a: length of one side

Volume of a box: v=l × w × h

l: length

w: width

h: height

Volume of a sphere: v=(4/3) × π × r3

π: 3.14

Volume of a cylinder: V=πr2h

π: 3.14

r: radius of the circle of the base

h: height of the cylinder  Ranks in the Army

കരസേനയിലെ റാങ്കുകൾ.  Code: ജലജ മേജർ ജനറലിനോട് ബിയറിനായി കേണു എൽ സി.ക്ക് മേജറിന്റെ ക്യാപ് ലഭിച്ചു. .

1. ജ : ജനറൽ.

2. ലജ : ലഫ്. ജനറൽ.

3. മേജർ ജനറൽ : മേജർ ജനറൽ.

4. ബിയർ : ബ്രിഗേഡിയർ.

5. കേണു : കേണൽ.

6. L. C : ലഫ്.കേണൽ.

7. മേജർ : മേജർ.

8. ക്യാപ് : ക്യാപ്ടൺ.

9. ലഭിച്ചു : ലഫ്റ്റനന്റ്.

ഇന്ത്യൻ കരസേനയുടെ ഗാനം: മേരാ ഭാരത് മഹാൻ.
ഇന്ത്യൻ സായ...

Simple and Compound Interest Formula

P - Principal, the sum of money lent or borrowed. .

R - Rate of interest: Annual interest, often expressed as a percentage. .

T - Time period for which the money is lent or borrowed. .

Simple Interest = Principal * Time * Rate of interest / 100 .

SI = 4000× 8% × 4 =  4000× 0.08 × 4.

= 1280. .

In compound interest , the principal amount with interest after the first time period becomes the part of principal for the next time period.

CI =   [P (1 + R/100)^T] – P .

Total amount = [P (1 + R/100)^T] .

If time period is half-yearly, .

Amount = P[1 + (R/2)/100]^2T .

If time period is quarterly, .

Amount = P[1 + (R/4)/100...

BODMAS Rule

BODMAS is an acronym and it stands for Bracket, Of, Division, Multiplication, Addition and Subtraction. .

This explains the order of operations to solve an expression. According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve/simplify the bracket followed by of (powers and roots etc.), then division , multiplication , addition and subtraction from left to right. .

Example :.

7 + (6 × 52 + 3) =   7 + (6 × 25 + 3).

7 + (150 + 3).

7 + (153).

7 + 153 .

Ans: 160. .

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