Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )

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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)

a²×a¹ = a³

a²÷a¹ = a¹

(a²)¹ = a²

a^-2 / a² = 1

(ab)² = a²xb² =ab⁴

a⁰ = 1

a^1/2 = 2√a.

(√a)² = a

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

r: radius of sphere

Volume of a cylinder: V=πr²h

π: 3.14

r: radius of the circle of the base

h: height of the cylinder

Pythagoras's theorem

The Pythagorean theorem is also known as Pythagoras's theorem. if c denotes the length of the hypotenuse and a and b denote the lengths of the other two sides, the Pythagorean theorem can be expressed as the Pythagorean equation:

a²+b²=c²

If the length of both a and b are known, then c can be calculated as

c = √(a²+b²)

If the length of the hypotenuse c and of one side (a or b) are known, then the length of the other side can be calculated as

a = √(c²-b²)

b = √(c²-a²)

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Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )