Geometry

Area trapezoid

Area trapezoid, formulas and calculator for calculating area online. Formulas are given for all types of trapezoids and special cases for isosceles trapezoids.


Table with area trapezoid formulas (at the end of the page)




Area for all types of trapezoid


1

Area trapezoid in height and two bases

Area trapezoid in height and two bases
... preparation ...
a - base
b - base
h - height


2

Area trapezoid in height and midline

Area trapezoid in height and midline
... preparation ...
m - middle line
h - height


3

Area trapezoid on four sides

Area trapezoid on four sides
... preparation ...
a - base
b - base
c - side
d - side


4

Area of trapezoid diagonally and the angle between the diagonals

Area of trapezoid diagonally and the angle between the diagonals
... preparation ...
d1 - diagonal
d2 - diagonal
α° - Angle between diagonals


5

Area of trapezoid through its base and the corners at the base

Area of trapezoid through its base and the corners at the base
... preparation ...
a - base
b - base
α° - angle at base
β° - angle at base


Area of isosceles trapezoid


6

Area of isosceles trapezoid through its sides

Area trapezoid on four sides
... preparation ...
a - side
b - side
c - side


7

Area of an isosceles trapezoid through a small base, lateral side and angle with a larger base

Area of an isosceles trapezoid through a small base, lateral side and angle with a larger base
... preparation ...
a - base
c - side
α° - angle at base


8

Area of an isosceles trapezoid through a larger base, lateral side and angle with a larger base

Area of an isosceles trapezoid through a larger base, lateral side and angle with a larger base
... preparation ...
b - base
c - side
α° - angle at base


9

Area of isosceles trapezoid through the base and the angle at the base

Area of isosceles trapezoid through the base and the angle at the base
... preparation ...
a - base
b - base
α° - angle at base


10

Area of isosceles trapezoid through the diagonals and the angle between the diagonals

Area of isosceles trapezoid through the diagonals and the angle between the diagonals
... preparation ...
d - diagonal
α° - Angle between diagonals


11

Area of isosceles trapezoid through the midline, side and corner at the base

Area of isosceles trapezoid through the midline, side and corner at the base
... preparation ...
m - middle line
c - side
α° - angle between parties


12

Area of isosceles trapezoid along the radius of the inscribed circle and the angle between the sides

Area of isosceles trapezoid along the radius of the inscribed circle and the angle between the sides

This formula is applicable only for isosceles trapezoids into which a circle can be entered.

... preparation ...
r - radius of inscribed circle
α° - angle between parties


13

Area of isosceles trapezoid through its two bases and the radius of the inscribed circle

Area of isosceles trapezoid through its two bases and the radius of the inscribed circle

This formula is applicable only for isosceles trapezoids into which a circle can be entered.

... preparation ...
a - base
b - base
r - radius of inscribed circle


14

Area of isosceles trapezoid through its base and the angle with a larger base

Area of isosceles trapezoid through its base and the angle with a larger base

This formula is applicable only for isosceles trapezoids into which a circle can be entered.

... preparation ...
a - base
b - base
α° - angle at base


15

Area of isosceles trapezoid across the sides

Area of isosceles trapezoid through the diagonals and the angle between the diagonals

This formula is applicable only for isosceles trapezoids into which a circle can be entered.

... preparation ...
a - base
b - base
c - side


16

Area of isosceles trapezoid through the base and the midline

Area of isosceles trapezoid through the diagonals and the angle between the diagonals

This formula is applicable only for isosceles trapezoids into which a circle can be entered.

... preparation ...
a - base
b - base
m - middle line

Note:

If the angle is specified in radians in the source data, then for conversion to degrees you can use the formula: 1 radian × (180/π)° = 57,296°


Table with area trapezoid formulas

Depending on the known initial data and the type of trapezoid, the area of trapezoid can be calculated using various formulas.


initial data
(active link to go to the calculator)
sketch formula
Area for all types of trapezoid
1 height and two bases
2 height and midline
3 four sides
4 diagonals and the angle between them
5 bases and angles at one of the bases
Area of isosceles trapezoid
6 the parties
7 base, sides and corner at the base
8 base, sides and corner at the base
9 bases and angles at one of the bases
10 diagonals and the angle between them
11 midline, sides and angles between base and sides
12 radius of the inscribed circle and the angle at the base
13 base and radius of the inscribed circle
14 bases and angles at one of the bases
15 bases and sides
16 base and middle line




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