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)

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)

    or

    b = √(c²-a²)