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Articles by karthikeya Boyini
Page 46 of 143
CSS max-width property
The CSS max-width property is used to set the maximum width that an element can have. When the content would normally be wider than this value, the element will not exceed the specified maximum width. Syntax selector { max-width: value; } Possible Values ValueDescription lengthDefines the maximum width in px, em, rem, etc. %Defines the maximum width as a percentage of the parent element noneNo maximum width limit (default value) Example The following example demonstrates how max-width constrains an element's width − ...
Read MoreArea of Circumcircle of a Right Angled Triangle?
The area of circumcircle of a right-angled triangle can be calculated when the hypotenuse (H) of the triangle is given using the formula πH²/4. This formula is derived from the fact that in a right-angled triangle, the hypotenuse is the diameter of the circumcircle. The circumcircle passes through all three vertices of the triangle. For a right-angled triangle, the hypotenuse becomes the diameter because the angle inscribed in a semicircle is always 90°. Since the area of a circle is πr², and diameter d = 2r, we can write the area as πd²/4, where d is replaced by the ...
Read MoreArea of circle which is inscribed in an equilateral triangle?
The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa2/12, where 'a' is the side length of the triangle. Syntax area = π × a² / 12 Formula Derivation Let's see how this formula is derived − Step 1: Find the radius of the inscribed circle using the formula: Radius = Area of triangle / Semi-perimeter of triangle Step 2: For an equilateral triangle with side 'a': Area of triangle = (√3)a2/4 Semi-perimeter = 3a/2 Step 3: Calculate the radius: Radius = ...
Read MoreArea of a Circular Sector?
A circular sector (also known as a circle sector or sector of a circle) is the portion of a circle that is enclosed between two radii and an arc. To find the area of a circular sector, we need to determine the central angle between the two radii. r θ Sector Syntax Area = π × r² × (θ / 360°) Where: π (pi) ≈ 3.14159 r = radius of ...
Read MoreArea of a circle inscribed in a regular hexagon?
In C programming, calculating the area of a circle inscribed in a regular hexagon involves understanding the geometric relationship between the hexagon and its inscribed circle. A circle inscribed in a regular hexagon touches all six sides of the hexagon at their midpoints. Syntax area = (3 * π * side * side) / 4 Mathematical Formula For a regular hexagon with side length a, the radius of the inscribed circle is r = a(√3)/2. Using the circle area formula A = πr², we get − ...
Read MoreC program to find Decagonal Number?
A decagonal number is a figurate number that represents the number of dots that can be arranged in nested decagonal (10-sided) patterns. These numbers follow the formula 4n² - 3n, where n is the position in the sequence. For example, the 3rd decagonal number involves arranging dots in 3 nested decagons. Each nested layer contributes a specific number of dots, and we subtract the overlapping dots to get the final count. Decagonal Number Pattern ...
Read MoreAverage of even numbers till a given even number?
To find the average of even numbers till a given even number, we need to sum all the even numbers up to that number and divide by the count of even numbers. Syntax average = sum_of_even_numbers / count_of_even_numbers Example Average of even numbers till 10 is calculated as − Even numbers: 2, 4, 6, 8, 10 Sum: 2 + 4 + 6 + 8 + 10 = 30 Count: 5 Average: 30 ÷ 5 = 6 There are two methods for calculating the average of even numbers till n (where n is ...
Read MoreAverage of odd numbers till a given odd number?
The average of odd numbers till a given odd number is calculated by finding the sum of all odd numbers from 1 to that number, then dividing by the count of odd numbers. This is a fundamental concept that demonstrates both iterative and mathematical approaches. Syntax Average = Sum of odd numbers / Count of odd numbers Average = (n + 1) / 2 // Formula approach (where n is odd) Example: Manual Calculation For odd numbers till 9: Odd numbers: 1, 3, 5, 7, 9 Sum: 1 + 3 ...
Read More1's and 2's complement of a Binary Number?
Binary numbers are expressed in base 2, using only the digits '0' and '1'. Each digit in a binary number is called a bit. Understanding 1's and 2's complement is essential for representing signed numbers in computer systems. 1's Complement One's complement of a binary number is obtained by inverting all bits − changing every '0' to '1' and every '1' to '0'. Syntax 1's complement = invert all bits Example: 101100 → 010011 2's Complement Two's complement of a binary number is obtained by adding 1 to the 1's complement of ...
Read MoreSum of the first N Prime numbers
In C programming, finding the sum of the first N prime numbers involves identifying prime numbers sequentially and adding them together. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Syntax int isPrime(int num); int sumOfFirstNPrimes(int n); Algorithm The approach involves checking each number starting from 2 for primality, and when a prime is found, adding it to the sum until we have found N primes − Start with the first prime number (2) Check each subsequent number for primality Add ...
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