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.

1. Rectangle: The area of a rectangle is the product of its length and width. A = lw
2. Square: The area of a square is the square of its side length. A = s^2
3. Triangle: The area of a triangle is half the product of its base and height. A = 1/2bh
4. Parallelogram: The area of a parallelogram is the product of its base and height. A = bh
5. 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
6. Circle: The area of a circle is the product of pi and the square of its radius. A = πr^2
7. 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.
8. Rhombus: The area of a rhombus is half the product of its diagonals. A = (d1*d2)/2, where d1 and d2 are the diagonals.
9. Regular Polygon: The area of a regular polygon with n sides and side length s is (ns^2)/(4tan(π/n)).
10. 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)).
11. 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.
12. Regular Tetrahedron: The area of a regular tetrahedron with side length s is (sqrt(3)*s^2)/4.
13. Regular Hexagon: The area of a regular hexagon with side length s is (3*sqrt(3)*s^2)/2.
14. 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.
15. 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.

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