# Area Tricks and Formulas

## Area Tricks and Formulas

Hello Friends, We are sharing with you Area Tricks and Formulas. This is very
helpful various mathematical problems to be solved.

- Rectangle: The area of a rectangle is the product of its length and width. A = lw
- Square: The area of a square is the square of its side length. A = s^2
- Triangle: The area of a triangle is half the product of its base and height. A = 1/2bh
- Parallelogram: The area of a parallelogram is the product of its base and height. A = bh
- Trapezoid: The area of a trapezoid is half the product of the sum of its bases and its height. A = 1/2(a + b)h
- Circle: The area of a circle is the product of pi and the square of its radius. A = πr^2
- Sector of a Circle: The area of a sector of a circle is the product of the angle measure of the sector (in radians) and the square of the radius, divided by 2. A = θr^2/2, where θ is in radians.
- Rhombus: The area of a rhombus is half the product of its diagonals. A = (d1*d2)/2, where d1 and d2 are the diagonals.
- Regular
Polygon: The area of a regular polygon with n sides and side length s is
(n
*s^2)/(4*tan(π/n)). - Heron's Formula: For a triangle with sides of lengths a, b, and c, and semiperimeter s=(a+b+c)/2, the area is given by A = sqrt(s(s-a)(s-b)(s-c)).
- Ellipse: The area of an ellipse is the product of pi and the lengths of its semi-major and semi-minor axes. A = πab, where a and b are the lengths of the semi-major and semi-minor axes respectively.
- Regular Tetrahedron: The area of a regular tetrahedron with side length s is (sqrt(3)*s^2)/4.
- Regular Hexagon: The area of a regular hexagon with side length s is (3*sqrt(3)*s^2)/2.
- Kite: The area of a kite is half the product of its diagonals. A = (d1*d2)/2, where d1 and d2 are the lengths of the diagonals.
- Sector of an Ellipse: The area of a sector of an ellipse with semi-major and semi-minor axes a and b, and central angle θ (in radians), is (1/2)abθ.

Remember to always label the units of your measurements to make sure you are using the correct units in your calculations.

**Area:**

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Area Tricks and Formulas
Reviewed by SSC NOTES
on
March 02, 2023
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