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Area of Parallelogram given sides and larger angle between its sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = Side C*Side D*sin(Angle B)
A = Sc*Sd*sin(∠B)
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Side C - Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side D - Side D is a straight line bounding a geometric figure. (Measured in Meter)
Angle B - The angle B the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Side C: 4 Meter --> 4 Meter No Conversion Required
Side D: 5 Meter --> 5 Meter No Conversion Required
Angle B: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Sc*Sd*sin(∠B) --> 4*5*sin(0.785398163397301)
Evaluating ... ...
A = 14.1421356237289
STEP 3: Convert Result to Output's Unit
14.1421356237289 Square Meter --> No Conversion Required
FINAL ANSWER
14.1421356237289 Square Meter <-- Area
(Calculation completed in 00.015 seconds)

5 Area and Angle of Parallelogram Calculators

Area of Parallelogram given diagonals and angle between diagonals
area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals) Go
Area of Parallelogram given sides and smaller angle between its sides
area = Side C*Side D*sin(Angle A) Go
Area of Parallelogram given sides and larger angle between its sides
area = Side C*Side D*sin(Angle B) Go
Value of one angle of consecutive pair of angle of Parallelogram
angle_a = pi-Angle B Go
Area of Parallelogram given side and height
area = Side*Height Go

Area of Parallelogram given sides and larger angle between its sides Formula

area = Side C*Side D*sin(Angle B)
A = Sc*Sd*sin(∠B)

What is Parallelogram?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

How to Calculate Area of Parallelogram given sides and larger angle between its sides?

Area of Parallelogram given sides and larger angle between its sides calculator uses area = Side C*Side D*sin(Angle B) to calculate the Area, Area of parallelogram given sides and larger angle between its sides formula is defined as an amount of space occupied by Parallelogram in given plane. Area and is denoted by A symbol.

How to calculate Area of Parallelogram given sides and larger angle between its sides using this online calculator? To use this online calculator for Area of Parallelogram given sides and larger angle between its sides, enter Side C (Sc), Side D (Sd) & Angle B (∠B) and hit the calculate button. Here is how the Area of Parallelogram given sides and larger angle between its sides calculation can be explained with given input values -> 14.14214 = 4*5*sin(0.785398163397301).

FAQ

What is Area of Parallelogram given sides and larger angle between its sides?
Area of parallelogram given sides and larger angle between its sides formula is defined as an amount of space occupied by Parallelogram in given plane and is represented as A = Sc*Sd*sin(∠B) or area = Side C*Side D*sin(Angle B). Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side D is a straight line bounding a geometric figure & The angle B the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Area of Parallelogram given sides and larger angle between its sides?
Area of parallelogram given sides and larger angle between its sides formula is defined as an amount of space occupied by Parallelogram in given plane is calculated using area = Side C*Side D*sin(Angle B). To calculate Area of Parallelogram given sides and larger angle between its sides, you need Side C (Sc), Side D (Sd) & Angle B (∠B). With our tool, you need to enter the respective value for Side C, Side D & Angle B and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area?
In this formula, Area uses Side C, Side D & Angle B. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = Side*Height
  • area = Side C*Side D*sin(Angle B)
  • area = Side C*Side D*sin(Angle A)
  • area = (1/2)*Long diagonal*Short diagonal*sin( Angle Between Two Diagonals)
  • angle_a = pi-Angle B
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