How to Calculate and Solve for the Perimeter, Length and Width of a Rectangle | The Calculator Encyclopedia

The image above is a rectangle with a length of 8 cm and a width of 5 cm.
To compute the perimeter of a rectangle requires two parameters which are the length of the rectangle and the width of the rectangle.

The formula for calculating the perimeter of a rectangle is:

P = 2 (l + w)

Where:

P = Perimeter of a Rectangle
l = Length of a Rectangle
w = Width of a Rectangle

Let’s solve an example:
Find the perimeter of a rectangle where the length of the rectangle is 8 cm and the width of the rectangle is 5 cm.

This implies that:
l = Length of the Rectangle = 8 cm
w = Width of the Rectangle = 5 cm

P = 2 (l + w)
P = 2 (8 + 5)
P = 2 (13)
P = 26

Therefore, the perimeter of the rectangle is 26 cm.

How to Calculate the Length of a Rectangle when the Perimeter of the Rectangle and the Width of the Rectangle is Given

l = P / 2 – w

Where:
l = Length of the Rectangle
P = Perimeter of the Rectangle
w = Width of the Rectangle

Continue reading How to Calculate and Solve for the Perimeter, Length and Width of a Rectangle | The Calculator Encyclopedia

How to Calculate and Solve for the Area, Length and Height of a Trapezium | The Calculator Encyclopedia

The image above is a Trapezium

To compute the area of a trapezium, three essential parameter is needed and they are the length of the top side (a), length of the bottom side (b) and the height of the trapezium (h).

The formula for calculating the area of a trapezium is;

A = 0.5[a + b]h

Where;
A = Area of a trapezium
a = length of the top side of the trapezium
b = length of the bottom side of the trapezium
h = height of the trapezium

Let’s solve an example;
Find the area of a trapezium where length of top side (a) is 7 cm, length of bottom side (b) is 12 cm and height of trapezium (h) is 10 cm.

This implies that;
a = Length of top side of the trapezium = 7 cm
b = Length of bottom side of the trapezium = 12 cm
h = Height of the trapezium = 10 cm

A = 0.5[a + b]h
A = 0.5[7 + 12]10
A = 0.5[19]10
A = 95

Therefore, the area of a trapezium is 95 cm2

How to Calculate the Height of a Trapezium when the Area, Length of top side and Length of bottom side of the Trapezium is given.

The formula is h = A / 0.5(a + b)

Where;
A = Area of the trapezium
a = Length of the top side of the trapezium
b = Length of the bottom side of the trapezium

Let’s solve for an example;
Given that the length of top side (a) is 10 cm, length of bottom side (b) is 14 cm and the area of the trapezium is 20 cm2 Find the height of the trapezium?

This implies that;

A = Area of the trapezium = 20 cm2
a = Length of top side of the trapezium = 10 cm
b = Length of bottom side of the trapezium = 14 cm

h = A / 0.5(a + b)
h = 20 / 0.5(10 + 14)
h = 20 / 0.5(24)
h = 20 / 12
h = 1.667

Therefore, the height of the trapezium is 1.667 cm.

Continue reading How to Calculate and Solve for the Area, Length and Height of a Trapezium | The Calculator Encyclopedia

How to Calculate and Solve for the Perimeter and Length of a Square | The Calculator Encyclopedia

The image above represents a square.
To compute the perimeter of a square requires one essential parameter which is the length of one side of a square.

The formula for computing the perimeter of a square is:

P = 4 x l

Where:
P = Perimeter of a Square
l = Length of one side of a Square

Let’s solve an example
Find the perimeter of a square which has a length of 10 m.

This implies that:
l = length of one side of a square = 10

P = 4 x l
P = 4 x 10
P = 40

Therefore, the perimeter of the square is 40 m.

Calculating the Length of a Square when Perimeter is Given

The formula is l = p / 4

Where;
P = Perimeter of a square
l = Length of a square

Let’s solve an example:
Find the length of a square where the perimeter of a square is 100 m.

This implies that;
P = Perimeter of a square = 100 m

l = p / 4
l = 100 / 4
l = 25

Therefore, the length of the square is 25 m.

Continue reading How to Calculate and Solve for the Perimeter and Length of a Square | The Calculator Encyclopedia

How to Calculate and Solve for the Area, Width and Length of a Rectangle | The Calculator Encyclopedia

The image above is a rectangle with a length of 9 cm and a width of 4 cm.
To compute the area of a rectangle requires two essential parameters which are the length of the rectangle and the width of the rectangle.

The formula for calculating the area of a rectangle is:

A = lw

Where:

A = Area of a Rectangle
l = Length of a Rectangle
w = Width of a Rectangle

Let’s solve an example
Find the area of a rectangle where the length of the rectangle is 9 cm and the width of the rectangle is 4 cm.

This implies that:
l = Length of the Rectangle = 9 cm
w = Width of the Rectangle = 4 cm

A = lw
A = (9)(4)
A = 36

Therefore, the area of the rectangle is 36 cm2.

How to Calculate the Length of a Rectangle when the Area and Width of the Rectangle is Given

The formula for calculating the length of the rectangle is:

l = A / w

Where:

l = Length of the Rectangle
A = Area of the Rectangle
w = Width of the Rectangle

Let’s solve an example:
Find the length of a rectangle where the area of the rectangle is 45 cm2 and the width of the rectangle is 9 cm.

This implies that:
A = Area of the Rectangle = 45 cm2
w = Width of the Rectangle = 9 cm

l = A / w
l = 45 / 9
l = 5

Therefore, the length of the rectangle is 5 cm.

How to Calculate the Width of a Rectangle when the Area and Length of the Rectangle is Given

The formula for calculating the width of the rectangle is:

w = A / l

Where:

w = Width of the Rectangle
A = Area of the Rectangle
l = Length of the Rectangle

Continue reading How to Calculate and Solve for the Area, Width and Length of a Rectangle | The Calculator Encyclopedia

How to Calculate and Solve for the Area and Length of a Square | The Calculator Encyclopedia

The image above represents a square.
To compute the area of a square requires one essential parameter which is the length of one side of a square.

The formula for computing the area of a square is:

A = l2

Where:
A = Area of a Square
l = Length of one side of a Square

Let’s solve an example
Find the area of a square which has a length of 6 ft.

This implies that:
l = length of one side of a square = 6

A = l2
A = 62
A = 6 x 6
A = 36

Therefore, the area of the square is 36 ft2.

Calculating the Length of a Square when Area is Given

The formula is l = √[A]

Where;
A = Area of a square
l = Length of a square

Let’s solve an example:
Find the length of a square where the area of a square is 81 ft2.

This implies that;
A = Area of a square = 81 ft2

l = √[A]
l = √[81]
l = 9

Therefore, the length of the square is 9 ft.

Continue reading How to Calculate and Solve for the Area and Length of a Square | The Calculator Encyclopedia

How To Calculate and Solve for the Area, Radius and Diameter of a Circle | The Calculator Encyclopedia

The image above is a circle.

To compute the area of a circle, one essential parameter is needed and this parameter is the radius of a circle (r). You can also use the diameter of a circle to compute the area of a circle (d).

The formula for calculating the area of a circle is:

A = πr2

Where:

A = Area of a circle
r = Radius of a circle

Let’s solve an example:
Find the area of a circle where the radius of a circle is 6 cm.

This implies that;
r = Radius of a circle = 6 cm

A = πr2
A = 3.142 (6)2
A = 3.142 (36)
A = 113.10

Therefore, the area of a circle is 113.10 cm2

Calculating the Area of a Circle using the Diameter of a Circle.

The formula is A = πd2/4

Where;
A = Area of a circle
d = Diameter of a circle

Let’s solve an example:
Find the area of a circle where the diameter of the circle is 7 cm.

This implies that;
d = Diameter of a circle = 4 cm

A = πd2 / 4
A = 3.142 (4)2 / 4
A = 3.142 (16) / 4
A = 3.142 (4)
A = 12.57

Therefore, the area of a circle with diameter given is 12.57 cm2

Continue reading How To Calculate and Solve for the Area, Radius and Diameter of a Circle | The Calculator Encyclopedia

The Calculator Encyclopedia Computes the Significant Figures of a Number

According to Wikipedia,

The significant figures (also known as the significant digits) of a number are digits that carry meaning contributing to its measurement resolution. This includes all digits except:

  • All leading zeros;
  • Trailing zeros when they are merely placeholders to indicate the scale of the number (exact rules are explained at identifying significant figures); and
  • Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.

Nickzom Calculator computes the significant figures of any given number.

For Example: apply 3 significant figures to 123876  and apply 2 significant figures to 0.00009872.

First, you need to obtain the Nickzom Calculator – The Calculator Encyclopedia app.
You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Significant Figures under the Mathematics section

On clicking the page or activity to enter the values is displayed.

From the first example: apply 3 significant figures to 123876
It implies that the number is 123876 and the number of significant figures to apply is 3.

Continue reading The Calculator Encyclopedia Computes the Significant Figures of a Number

Nickzom Calculator Calculates and Solves for Polynomials | Cubic and Quartic

According to Wikipedia,

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of additionsubtractionmultiplication, and non-negative integer exponents of variables.

Nickzom Calculator is the very first calculator encyclopedia to come out from Nigeria. It is capable of solving over 50,000 calculations and presenting the steps (workings). Fortunately, Nickzom Calculator can compute conception and best intercourse dates.

You can access Nickzom Calculator via any of these means:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have access to Nickzom Calculator proceed to the Calculator Map, click on Polynomials under Mathematics section

For Nickzom Calculator, there are two polynomials which are cubic and quartic.

A cubic equation or polynomial has a degree or order of 3 whereas a quartic equation or polynomial has a degree or order of 4.

Let’s start with a cubic equation

Continue reading Nickzom Calculator Calculates and Solves for Polynomials | Cubic and Quartic

Calculating Compound Interest Using Nickzom Calculator

Using the Nickzom Calculator for Math calculations is quite simple. Navigation through any of the App platforms from Mobile to Web is quite easy. Just a bit of playing around and you’re quite comfortable with the user interface. Does Math seem hard, Nickzom Calculator makes it easier.

We will consider Compound Interest, how your Principal, Interest and Amount can easily be calculated using the Nickzom calculator. The platform  also goes a long way in showing the formula used, and the steps it took to arrive at its answer.

 

Compound Interest

Compound Interest being a very popular topic in Mathematics entails basically  Principal, Rate, Interest, Time (number of years) and expected amount. The Nickzom Calculator can carry out calculations on Compound Interest, solving problems on

Continue reading Calculating Compound Interest Using Nickzom Calculator

How to Solve and Calculate the Mean or Average of Discrete and Continuous Numbers

Mean is a measure of central tendency and is considered to be a very important parameter of statistics. Mean or Average is the sum of the data sets or numbers or values divided by the number of numbers or data sets or values.

What is a discrete number?

A discrete number is a standalone number. It might be a whole number or fractional number but it stands on its own with no extension or range. An example of a discrete number is 5, 12, 10.6, 17, 20

What is a continuous number?

A continuous number is a range of numbers packaged as a single entity. An example of a continuous number is 5 – 10, 20 – 30, 25 – 50.

There are two possibilities in calculating the mean of a set of discrete numbers. One can either compute the mean via the application of frequency or no frequency at all.

For Example: A set of discrete numbers such as these:

4, 5, 6, 7, 8, 9

These numbers all occur once and have a frequency of 1 per number.

Therefore, if you want to create a table for the number and frequency, it looks like this:

Number        4, 5, 6, 7, 8, 9

Frequency    1, 1, 1, 1, 1, 1

You can clearly see that there is no need for applying frequency to calculate the mean of the above set of numbers. Application of frequency on a large set of numbers makes it easier to organize and compute the mean.

Now, for a set of numbers such as these:

4, 4, 4, 2, 4, 5, 3, 3, 3, 2, 1, 1, 6, 4, 3, 2, 4, 2, 5, 2, 1

You can see that some of the discrete numbers occur more than once and this implies that application of frequency is useful and makes the computing of mean easier and comprehensive.

From the display of numbers above you can see that the number 4 occurred times, the number 2 occurred times, the number 5 occurred 2 times, the number 3 occurred 4 times, the number 1 occurred 3 times, the number 6 occurred 1 time.

Continue reading How to Solve and Calculate the Mean or Average of Discrete and Continuous Numbers