Area formula is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space the shape takes up on the paper is called its Area.
Area formula
Square area formula
Area of a Square =
Side × Side. Therefore, the area of square = Side
2 square units. and the perimeter of a square = 4 × side units.
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square area formula[/caption]
How to find area of a square
The area of a square is equal to
(side) × (side) square units. T. For example, Side of the square = a = b = 10 cm
Area of the square
= a
× b
= 10 cm
× 10 cm
= 100 cm2
OR
a
2 =
100cm2
Area of Rectangle formula
The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.
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area of Rectangle formula[/caption]
How to find area of a Rectangle
Area of a rectangle is easy to find, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
Length = 10 cm
Width = 4 cm
Area of a rectangle = Length × Width
10 × 4 = 40
So the area of rectangle = 40 cm
2
Area of triangle formula
What is the formula of
area of the triangle? Area of triangle formula is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
[caption id="attachment_90673" align="alignnone" width="550"]
formula of area of triangle[/caption]
Area of rhombus formula
The
area of a
rhombus is the amount of space inside the
rhombus. It is measured in units squared ( c m 2 , m 2 , m m 2 cm^2
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area of rhombus formula[/caption]
How to find area of a rhombus
The formulae for rhombuses are defined for two parameters, area and perimeter: Area of a rhombus = 1/2 × d1 d 1 × d2 d 2 , where d1 d 1 and d2 d 2 are diagonals of a rhombus.
ABCD is a rhombus in which AB = BC = CD = DA = 17 cm
AC = 16 cm
Therefore, AO = 8 cm
In ∆ AOD,
AD² = AO² + OD²
⇒ 17² = 8² + OD²
⇒ 289 = 64 + OD²
⇒ 225 = OD²
⇒ OD = 15
Therefore, BD = 2 OD
= 2 × 15
= 30 cm
Now, area of rhombus
= 1/2 × d₁ × d₂
= 1/2 × 16 × 30
= 240 cm²
Area of Trapezoid formula
The area of a trapezoid is found using the formula,
A = ½ (a + b) h, where 'a' and 'b' are the bases (parallel sides) and 'h' is the height (the perpendicular distance between the bases) of the trapezoid.
[caption id="attachment_90675" align="alignnone" width="560"]
area of Trapezoid formula[/caption]
How to find the area of a trapezoid
To find the area of a trapezoid ( A ), follow these steps: Find the length of each base ( a and b ). Find the trapezoid's height ( h ). Substitute these values into the trapezoid area formula:
A = (a + b) × h / 2 .
- Write the formula: A = ½(b1+b2)h
- Fill in the variables: A = ½(6 cm +12 cm)(4 cm)
- Simplify the terms: A = ½(18 cm)(4 cm)
- Multiply the numbers together: A = 36 cm2.
Area of Regular polygon formula
Area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this:
Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.
[caption id="attachment_90676" align="alignnone" width="555"]
area of Regular polygon formula[/caption]
Area of Circle formula
Area of circle formula = π × r2. The area of a circle is π multiplied by the square of the radius. The area of a circle when the radius 'r' is given is πr2. The area of a circle when the diameter 'd' is known is πd2/4.
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area of Circle formula[/caption]
Lateral surface area of cone
lateral surface area of cone is the total surface area of a cone is
the sum of the area of its base and the lateral (side) surface.
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lateral surface area of cone[/caption]
Surface area of Sphere formula
Surface area of Sphere formula curved portion of the hemisphere will equal one-half of the surface area of the uncut sphere, which we established to be 4πr2. The total surface area of the hemisphere will be equal to the sum of the surface areas of the flat part and curved part of the hemisphere.
[caption id="attachment_90680" align="alignnone" width="552"]
surface area of Sphere formula[/caption]
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