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In this problem, our task is to find the area of the largest triangle that can be inscribed in a regular hexagon. Each side of the hexagon and triangle is of length a and b, respectively. Area of the Largest Triangle Inscribed in a Hexagon You can calculate the area of the largest triangle inscribed in a regular hexagon using the following formula: $$ Area\ of\ triangle\ inside\ hexagon\ = \frac{3\sqrt{3}}{4} \cdot a^2 $$ Derivation The first step is to establish a relation between a and b, as the value of a(side of the hexagon) is ... Read More
The HashSet class is a part of the Java Collections Framework, and it implements the Set interface. It is a collection of unique individual elements. It internally uses a hash table; therefore, the iteration order of elements is not guaranteed. Our task is to iterate through the elements of a HashSet in Java. Let's look at some scenarios to understand the problem better: Scenario 1 Input: {1, 2, 3, 4, 5} Output: 1 2 3 4 5 Explanation: The HashSet contains the elements 1, 2, 3, 4 Scenario 2 Input: {8, 3, 5, 1, 9} Output: 8 3 5 1 ... Read More
Java does not have built-in tuple support; to use the tuple, we use the third-party library called Javatuples. Using this library, you can create a tuple of different sizes, starting from a single-element tuple, which is the Unit class, up to a ten-element tuple (Decade class). The following is the list of JavaTuples library classes: Unit: 1-element tuple Pair: 2-element tuple Triplet: 3-element tuple Quartet: 4-element tuple Quintet: 5-element tuple Sextet: 6-element tuple ... Read More
ArrayList is a part of the Java Collections Framework. It is used to store elements in a dynamic array that can grow as needed. Unlike arrays, ArrayLists can change their size dynamically, which makes them easier for storing collections of objects without fixing the size at the time of creation. Our task is to iterate through an ArrayList in Java. Let's look at some scenarios to understand the problem better: Scenario 1 Input : [1, 2, 3, 4, 5] Output: 1 2 3 4 5 Explanation: We will iterate through the ArrayList and print each element. Scenario 2 Input ... Read More
In C/C++, an error occurs due to an invalid operation performed by the user. The error normally stops the program execution until it is fixed. So, the error should be removed before compilation and execution. Types of Error in C/C++ Following is the list of errors occur in C/C++ programming: Syntax Error Run-Time Error Linker Error Logical Error Semantic Error In this article, we will see the implementation of error in C/C++ programs. Syntax Error The syntax error ... Read More
LinkedHashSet is a part of Java's Collection Framework. It is a type of Set that keeps the order of elements the same as they were added. It uses a combination of a hash table and a linked list to store elements.Our task is to traverse/iterate through the elements of a LinkedHashSet in Java. Let's look at some scenarios to understand the problem better: Scenario 1 Input: {1, 2, 3, 4, 5} Output: 1 2 3 4 5 Explanation: The LinkedHashSet contains the elements 1, 2, 3, 4, and 5. When we iterate through it, we get the elements in the ... Read More
HashSet is a class in Java that implements the Set interface. It is used for storing unique elements. Our task is to check if a HashSet contains another collection in Java. Let's look at some scenarios to understand the problem better: Scenario 1 Input: {1, 2, 3, 4, 5} Collection to check: {2, 3} Output: true Explanation: The HashSet contains all the elements of the collection {2, 3}. Scenario 2 Input: {1, 2, 3, 4, 5} Collection to check: {6, 7} Output: false Explanation: The HashSet does not contain all the elements of the collection {6, 7}. Checking ... Read More
LinkedHashMap is a class in Java that implements the Map interface. It uses a doubly linked list to maintain the insertion order of elements. So, when we loop through a LinkedHashMap, the elements will be returned in the order we had inserted them. The given task is to check if a particular value exists in a LinkedHashMap in Java. Let's look at some scenarios to understand the problem better: Scenario Input: {1=Mikasa, 2=Eren, 3=Reiner}, Value to check: Mikasa Output: Value Exists Explanation: The LinkedHashMap has the value that we are looking for. Checking if a Value Exists in LinkedHashMapThe following ... Read More
Circumcircle of Triangle A circumcircle of a triangle is a circle that passes through all the vertices of a triangle. The center of circumcircle is known as the circumcenter, which is an intersection of all the perpendicular bisectors of the triangle. The radius is known as the circumradius and is denoted by R. Formula to Calculate Area of Circumcircle of Triangle You can use the formula given below to calculate the area of the circumcircle of a triangle: $$ \frac{\pi (abc)^2}{16K^2} $$ where, a, b, and c are the sides of ... Read More
A diagonal of a polygon is the line joining two vertices that are not adjacent to each other. The formula for calculating the area of a square with diagonal length is a2 = d2 / 2, where a and d are the side and diagonal length of the square, respectively. The visual representation of the derivation of the formula is given below: Here are some example scenarios to calculate the area of a square from the diagonal length using the above formula: Scenario 1 Input: d = 10 Output: 50 Explanation: Using the formula: area = ... Read More