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1. Top results related to area of a parallelogram calculator

   • Area of a triangle inside a parallelogram

     Given the base and height of the parallelogram ABCD are b and h respectively. The task is to calculate the area of the triangle ▲ABM (M can be any point on upper side) constructed on the base AB of the parallelogram as shown below:  

     <img alt="">

     Examples:

     Input: b = 30, h = 40Output: 600.000000

     Approach:

     Area of a triangle constructed on the base of parallelogram and touching at any point on the opposite parallel side of the parallelogram can be given as = 0.5 * base * height

       Hence, Area of ▲ABM = 0.5 * b * h Below is the implementation of the above approach:  

     C++

     #include <iostream>using namespace std; // function to calculate the areafloat CalArea(float b, float h){    return (0.5 * b * h);}// driver codeint main(){    float b, h, Area;    b = 30;    h = 40;     // function calling    Area = CalArea(b, h);    // displaying the area    cout << "Area of Triangle is :" << Area;    return 0;}

     C

     #include <stdio.h> // function to calculate the areafloat CalArea(float b, float h){    return (0.5 * b * h);} // driver codeint main...

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   • Area Of A Circle Calculator - Free Online Calculator

     Area Of A Circle Calculator: A tool that helps you find the area of a circle quickly and easily. This calculator requires you to input the radius of the circle, which is the distance from the center of the circle to its edge. The area of a circle is how much space is inside the circle. This GeeksforGeeks online area of a circle calculator works by using a simple formula to calculate the area of a circle. Let’s explore how it works, the formula involved, and some practical examples to understand it better.

     How Area of a Circle Calculator Works

     1. Enter the Radius: First, you need to put in the radius of the circle. The radius is the distance from the center of the circle to any point on its edge. You can enter this number into the calculator.

     2. Calculator Does the Math: Once you type in the radius, the calculator uses a special formula to figure out the area of the circle. You don’t have to do any tricky math yourself!

     3. Get the Answer: After you enter the radius and press a button...

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   • Area of a triangle with two vertices at midpoints of opposite sides of a square and the other vertex lying on vertex of a square

     Given a positive integer N representing the side of a square, the task is to find the area of a triangle formed by connecting the midpoints of two adjacent sides and vertex opposite to the two sides.

     Examples:

     Input: N = 10 Output: 37.5

     Input: N = 1 Output: 0.375

     Recommended: Please try your approach on {IDE} first, before moving on to the solution.Approach: The given problem can be solved based on the following observations:

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     <img>

     • The one side of the triangle will be the hypotenuse of the triangle formed with the vertices as two middle point and one vertex of the square at the intersection of the sides whose length of the side is given by .
     • The length of the other two sides of the triangle is given by .
     • Now, the sides of the triangle are known, therefore, the area of the triangle can be calculated using the Heron’s Formula.

     Follow the steps below to solve the problem:

     • Find the side of the triangle as discussed above formula and store it in the variables say a, b, and c respectively.
     • After completing the above steps, print the value of (s*(s – a)*(s – b)*(s – c))1/2 where s = (a + b + c) / 2.

     Below is the implementation of the above approach:

     C++

     // C++ program for the above approach #include <bits/stdc++.h>using namespace std; // Function to find the area of the// triangle that inscribed in squaredouble areaOftriangle(int side){    // Stores the length of the first    // side of triangle    double a = sqrt(pow(side / 2, 2)                    + pow(side / 2, 2));     // Stores the length of the second    // side of triangle    double b = sqrt(pow(side, 2)                    + pow(side / 2, 2));     // Stores the length of the third    // side of triangle    double c = sqrt(pow(side, 2)                    + pow(side / 2, 2)); double s a b c 2...

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   • Area of Parallelogram - Formula, Vector Form, Examples & FAQs

     The area of a Parallelogram is the space or the region enclosed by the boundary of the parallelogram in a two-dimensional space. It is calculated by multiplying the base of the parallelogram by its height. In this article, we will learn more about the Area of Parallelogram Formulas, and how to use them with the help of examples.

     Table of Content

     • What is the Area of Parallelogram?
     • Formulas – Area of a Parallelogram
     • Area of Parallelogram Formula
     • How to Find Area of Parallelogram?
     • Area of Parallelogram using Base and Height
     • Area of Parallelogram using Side Lengths
     • Area of Parallelogram using Diagonals
     • Area of Parallelogram in Vector form
     • Area of Parallelogram Solved Examples
     • Practice Questions on Area of Parallelogram

     What is the Area of Parallelogram?A Parallelogram’s Area is the total surface covered by the parallelogram in a two-dimensional plane and is expressed in square units. Height, length of sides, or diagonals can determine it. It is measured in the unit square, i.e. m2, cm2.

     Formulas – Area of a Parallelogram

     Formulas to Calculate the Area of a Parallelogram

     Area of a Parallelogram Using Base and Height

     A = b × h

     Area of a Parallelogram Using Trigonometry

     A = ab sin (x)

     Area of a Parallelogram Using Diagonals

     A = ½ × d1 × d2 sin (y)

     Area of Parallelogram FormulaArea of a Parallelogram can be determined by multiplying its base by its altitude. Thus, the following formula can be used to determine a parallelogram’s...

     • b is Base of Parallelogram
     • h is Height of Parallelogram
     • When Base and Height of Parallelogram are Known
     • When Lengths of Sides of Parallelogram are Known
     • When Lengths of Diagonals of Parallelogram are Known
     •  Base (b) = 12 cm
     •  Height (h) = 8 cm
     • Length of One side (a) = 5 cm
     • Length of Other side (b) = 4 cm
     • Length of One Diagonal (d1) = 2 cm
     • Length of Other Diagonal (d2) = 6 cm
     • Base (b) = 10 cm
     • Height (h) = 8 cm
     • Base (b) = 5 cm 
     • Height (h) = 4 cm
     • Length of One Diagonal (d1) = 4 cm
     • Length of Other Diagonal (d2) = 8 cm
     • Length of One side (a) = 3 cm
     • Length of Other side (b) = 6 cm
     • Opposite sides of a parallelogram are equal and parallel to each other.
     • Opposite angles of a parallelogram are equal.
     • Sum of interior angles of a parallelogram is equal to 360°.
     • Adjacent angles of a parallelogram must be supplementary i.e. equal to 180°.

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2. www.calculatorultra.com › en › toolArea of Parallelogram Calculator &amp; Formula Online ...

   www.calculatorultra.com › en › tool

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   3 days ago · The area and perimeter of a parallelogram can be determined using straightforward formulas: Area: \( A = b \times h \) Perimeter: \( P = 2(b + h) \) Where \(b\) is the base length and \(h\) is the height of the parallelogram. Example Calculation. For a parallelogram with a base of 10 units and a height of 5 units:

3. www.calculatorultra.com › en › toolArea of a Quadrilateral By Coordinate Calculator &amp ...

   www.calculatorultra.com › en › tool

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   2 days ago · Calculating the area of a quadrilateral involves understanding its shape and applying the appropriate formula based on its type (e.g., trapezoid, parallelogram, or general quadrilateral).

4. www.geeksforgeeks.org › area-and-perimeterArea and Perimeter of Shapes | Formula and Examples

   www.geeksforgeeks.org › area-and-perimeter

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   Aug 14, 2024 · Q1. Find the area of a trapezium whose parallel sides measure 12 cm and 14 cm. The distance between parallel sides is equal to 6 cm. Q2. Calculate the perimeter of a regular pentagon having each side equal to 5 inches.

   • Video Duration: 25 min

5. www.buildwisecalculator.com › area-of-a-trapezoidArea of a Trapezoid Calculator

   www.buildwisecalculator.com › area-of-a-trapezoid

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   Aug 2, 2024 · To calculate trapezoid Area, simply enter the lengths of the two parallel sides and the height, and get instant results. This tool provides accurate area calculations for your geometric needs. Enjoy a seamless experience with our clean interface and dynamic result display.

6. www.geeksforgeeks.org › area-formulasArea Formulas - Table of Area Formulas for Different Shapes

   www.geeksforgeeks.org › area-formulas

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   Aug 8, 2024 · Area Formula of a Parallelogram. Parallelogram is a 2-D figure in which the opposite sides are parallel and equal. The formula for calculating the area of parallelogram with base b and height h are, Area of Parallelogram (A) = bh sq. units; Area Formula of a Rhombus. Rhombus is a quadrilateral with all four sides equal and parallel but not all ...

7. quizlet.com › 590237161Area of parallelograms. Flashcards | Quizlet

   quizlet.com › 590237161

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   Aug 6, 2024 · Study with Quizlet and memorize flashcards containing terms like a quadrilateral with two sets of parallel sides, a measurement of the space inside a figure, The area of a parallelogram is 44.4 square feet and its height is 7.4 feet.

8. flexbooks.ck12.org › cbook › ck-12-precalculusCK12-Foundation

   flexbooks.ck12.org › cbook › ck-12-precalculus

   Aug 13, 2024 · How do you calculate the area of a parallelogram using vectors? To find the area of a parallelogram using vectors, we can use the cross product of the two vectors representing the sides. Let's say the vectors are @$\\begin{align*}a\\end{align*}@$ and @$\\begin{align*}b.\\end{align*}@$