1-Arc of a Circle
It can be taken as the part of the circle formed by the two radii making an angle less than 180 degree. As we know circle has different parts of arc, two points are marked on the circle. These two arcs known as major arc and minor arc.
Formula: length arc of a circle is;
Length arc of a circle = n/360 * 2pi r
2-The Compound Interest Equation
The no. of times the interest is compounded per year.
P = C (1 + r/n) nt
P= future value , c= interest value , r= interest rate
N= no. of times per year interest is compounded , t= no. of years invested
3-Derivative
The formula of derivative is at the core of modern Mathematics and Calculus and is considered one of the two main operations in modern Mathematics. The derivative of a function of real variable measures the sensitivity to change of quantity which is determined by another quantity.
4-Integrals
An integral basically assigns many numbers to functions in a way that can easily describe area, displacement, volume and many other concepts. Integration is considered one of the two main operations in modern Mathematics, with its differentiation, inverse, being the other.
5-Linear Equations & Formulas
A Linear Equation is basically used for solving all the problems that includes constants and variables of first order, if the values of all variables are known. In this slope is very important. Slope is the measure of how a line changes, it is expressed as the change along the y-axis/the changing along the x-axis.
(y2−y1)
(x2−x1)
6-Distance Formula
The Distance Formula is basically derived from the ”Pythagorean Theorem” and it is used to find the distance between two points. You can find the exact distance very easily, just use the coordinates of ordered pairs and then apply the formula that is given below.
7-Averages
Basically, an Average is considered the sum of a large list of numbers that is divided by total number of numbers given in the list. But it would be called the “arithmetic mean” in modern Mathematics and Statistics.
Average= Sum of observations
_____________________
Number of observations
The arithmetic mean is considered the most common type of the averages.
8-Probabilities
In colloquial language, Probability basically deals with the estimation or measure of different events that are likely to happen. But in Mathematics and Statistics, a probability is basically a calculation of uncertainty and the probability of an event can be calculated by using the above formula.
9-Circumference
The word Circumference is derived from "Circumferentia" which is a Latin word, meaning 'carrying around' and the Circumference of a circular object or a closed curve is basically a linear distance all around its edge. A circle's Circumference is of special importance in trigonometry and geometry and a main line that bisects the circle through the midpoint and touches two ends of circle of opposite sides.
Circumference = 2πr OR
Circumference=πd
10-Equations of a Circle
The standard form of an equation of a circle is basically a way to express the exact definition of a circle, on the coordinate plane and it is useful to get point on ATC.
On the coordinate plane, the equation of a circle becomes as:
(x – h)2 + (y – k)2 = r2
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