To find the sum of this series, we will first analyze this series.The series is:The given series is 2, 10, 30, 68…For exampleFor n = 6 Sum = 464On analysis of the given series, you will see that the series is the addition of two series first one is the ... Read More

To find the sum of this series, we will first analyze this series.The series is: 2, 6, 12, 20, 30…ExampleFor n = 6 Sum = 112 On analysis, (1+1), (2+4), (3+9), (4+16)... (1+12), (2+22), (3+32), (4+42), can be divided into two series i.e. s1:1, 2, 3, 4, 5… andS2: 12, ... Read More

C++ Internals means how the working of C++ compiler compiling the .cpp code and giving us the output. C++ is a popular programming language mostly used for writing system software. It is an extension of the C programming language. C is a compiled language. The C++ compiler compiles C++ code ... Read More

Simple Interest is the product of principal amount, rate of interest and the time duration (in years) by 100.Example, Input − p=5, r=4, t=5Output − 1Explanation: Simple Interest = (Principal Amount * Rate of Interest * Number of years) / 100SI= 5*4*5/100 = 1Example#include #include using namespace std; int ... Read More

To find the area of leaf inside a square, we need to split it into parts and find the area of parts and then add the areas to find the area of leaf.To calculate the area we are splitting the leaf into two parts.To find the area of 1st part ... Read More

Given, A square that is inscribed within a circle that is inscribed in a regular hexagon and we need to find the area of the square, for that we need to find the relation of the side of square and the side of the hexagon.The mathematical formula for the radius ... Read More

For understanding this complex problem, let's do it in two parts. First we will find the dimensions of the rectangle and based on that we can find the area of a triangle inscribed in it.Using the equation of ellipse and differential calculus, mathematical formula for the area of a rectangle ... Read More

A regular decagon is a ten sided polygon with all sides and angles equal. And here we need to find the area of a decagon that is inscribed inside a circle using the radius of the circle r, Mathematical formula for the side of the decagon inscribed in the circle, ... Read More

A Hexagon is a closed figure of 6 side and a regular hexagon is the one which has all six sides equal and angle equal. For finding the area of hexagon, we are given only the length of its diagonal i.e d.The interior angles of Hexagon are of 120 degrees ... Read More

An n-sided regular polygon inscribed in a circle, the radius of this circle is given by the formula, r = a/(2*tan(180/n))Suppose a polygon have 6 faces i.e., a hexagon and as we know mathematically that the angle is 30 degreeSo the radius of circle will be (a / (2*tan(30)))Therefore, r ... Read More