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Area of a Kite when sides and angle between the sides are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = Side A*Side B*sin(Angle Between Sides)
A = a*b*sin(x)
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Side A - Side A 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 B - Side B 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)
Angle Between Sides - Angle Between Sides is the angle formed between the two sides of the quadrilateral. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
Angle Between Sides: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = a*b*sin(x) --> 8*7*sin(0.5235987755982)
Evaluating ... ...
A = 28
STEP 3: Convert Result to Output's Unit
28 Square Meter --> No Conversion Required
FINAL ANSWER
28 Square Meter <-- Area
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Radius of Inscribed Circle
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)/Semiperimeter Of Triangle) Go
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)) Go
Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Radius of circumscribed circle
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go
Area of a Square when side is given
area = (Side A)^2 Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of a Kite when sides and angle between the sides are given Formula

area = Side A*Side B*sin(Angle Between Sides)
A = a*b*sin(x)

What is Area of a Kite when sides and angle between the sides are given?

A quadrilateral is a polygon that has 4 vertices and 4 sides enclosing 4 angles. Kite is a special quadrilateral in which each pair of the consecutive sides is congruent, but the opposite sides are not congruent. To find the area of a kite when sides and the angle between the sides are given, you need to multiply the values of both the congruent sides and sin of the angle between them.

How to Calculate Area of a Kite when sides and angle between the sides are given?

Area of a Kite when sides and angle between the sides are given calculator uses area = Side A*Side B*sin(Angle Between Sides) to calculate the Area, The area of a kite when sides and angle between the sides are given is defined as the region occupied inside the boundary of a kite provided the value for sides and the angle between the sides are given. Area and is denoted by A symbol.

How to calculate Area of a Kite when sides and angle between the sides are given using this online calculator? To use this online calculator for Area of a Kite when sides and angle between the sides are given, enter Side A (a), Side B (b) and Angle Between Sides (x) and hit the calculate button. Here is how the Area of a Kite when sides and angle between the sides are given calculation can be explained with given input values -> 28 = 8*7*sin(0.5235987755982).

FAQ

What is Area of a Kite when sides and angle between the sides are given?
The area of a kite when sides and angle between the sides are given is defined as the region occupied inside the boundary of a kite provided the value for sides and the angle between the sides are given and is represented as A = a*b*sin(x) or area = Side A*Side B*sin(Angle Between Sides). Side A 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 B 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 and Angle Between Sides is the angle formed between the two sides of the quadrilateral.
How to calculate Area of a Kite when sides and angle between the sides are given?
The area of a kite when sides and angle between the sides are given is defined as the region occupied inside the boundary of a kite provided the value for sides and the angle between the sides are given is calculated using area = Side A*Side B*sin(Angle Between Sides). To calculate Area of a Kite when sides and angle between the sides are given, you need Side A (a), Side B (b) and Angle Between Sides (x). With our tool, you need to enter the respective value for Side A, Side B and Angle Between Sides 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 A, Side B and Angle Between Sides. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
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