Here Are The Basic Mathematical Formulas You Should Know

Mathematical Formulas You Should Know

Being a Mathematics student is not an easy task, because there are some calculations that involves using formulas. The funniest part is that, most of the time, the formulas are not given to you. So you have to partition your Soft Disk Drive (Your Brain) to store some formulas permanently.

Here are some you should know;

1. Perimeters

We have different shapes E.g Triangle, Rectangle, Square, e.t.c. But the perimeter of most shapes can be derived from this three main shapes.

 a. Perimeter of a Triangle
     P = a + b + c
     NB: a, b, c are the known sides of the triangle

 b. Perimeter of a Rectangle
     P = 2(L + B)
     NB: L represents length; B represents breadth.

 c. Perimeter of a Square
     P = 4L
     NB: L is length of one side

 d. Circumference of a Circle
     C = 2πr
     NB: π is 3.142 (constant value); r is radius

          

2. Areas

Area is the senior brother to perimeter. If you zoom into perimeter, you'll notice there's no or little multiplication. All you see is addition.
But Area here uses multiplication.

 a. Area of a Triangle
     A = ½ x b x h
     NB: b is base; h is height

 b. Area of a Rectangle
     A = L x B

 c. Area of a Square
     A = L²
     NB: L is length of one side

 d. Area of a circle
     A = πr²
     NB: π is 3.142 (constant value); r is radius

3. Pythagoras Theorem

This is used to find an unknown side of a right-angled triangle only.

C² = A² + B²

NB: C is the hypotenuse (longest side of a right-angled triangle; A and B are the other sides.

4. Quadratic Equation

Most cases, this is used along side factorisation.
[-b±(√b² - 4ac)]/2a

5. Average

Now, average is something common we use all the time, but most people don't know it has a formula.

Average = Sum of given values/Total number of given values

Example: Find the average of these numbers,
2,6,1,5,7,8,9,1,3,4.
Average = (2 + 6 +1 + 5 + 7 + 8 + 9 + 1 + 3 + 4)/10
               = 46/10
               = 4.6

6. Probability

Most people knows how to take risks same as most people don't know the simple formula for probability.

Probably = Target outcome/Total outcome

7. Slope equation

Most people are familiar with this. It's mostly used when solving graph. It's used mostly on a straight line graph.

Slope = Y2 - Y1/X2 - X1

8. Equation of a line

Graphical expressions are mostly written in this format

y = mx + c

NB: m is gradient; c is intercept

Example: y = 2x + 1

9. Volume of a cylinder

If you look at a cylinder from the top, all you see is circle, that explains the πr². But, the circle in one way also has a height, which explains the "h"

V = πr²h

10. Trigonometry

Most people are familiar with the math term SOH CAH TOA. But, have you ever wondered what it stands for?

Just like pythagoras theorem, SOH CAH TOA can only be used to find the angle or side of a right angled triangle.

SOH stands for;

Sine∆ = Opposite/Hypotenuse

CAH stands for;

Cos∆ = Adjacent/Hypotenuse

TOA stands for;

Tan∆ = Opposite/Adjacent

Want more knowledge on trigonometry and ratio? click here

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Those are the top 10 most know basic mathematics formula. If you enjoyed the post, hit the subscribe and like button and also share with your friends. Videos coming soon!

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