கணிதம் உங்களுக்காக - 2 - கான்ஸெப்ட்கள்

 1. Pi (π): approximately 3.14159...

2. Euler's number (e): approximately 2.71828...

3. The Golden Ratio (φ): approximately 1.61803...

4. Square roots of non-perfect squares:

   - √2 ≈ 1.41421...

   - √3 ≈ 1.73205...

   - √5 ≈ 2.23607...

   - √7 ≈ 2.64575...

   - √11 ≈ 3.31662...

5. Cube roots of non-perfect cubes:

   - ∛2 ≈ 1.25992...

   - ∛3 ≈ 1.44225...

   - ∛5 ≈ 1.70998...

6. Transcendental numbers (numbers that are not roots of any non-zero polynomial equation with rational coefficients):

   - e^π (Gelfond's constant)

1. Area of a rectangle: A = l × w (where l is the length and w is the width)

2. Perimeter of a rectangle: P = 2l + 2w

3. Area of a square: A = s² (where s is the side length)

4. Perimeter of a square: P = 4s

5. Area of a triangle: A = ½ × b × h (where b is the base and h is the height)

6. Perimeter of a triangle: P = a + b + c (where a, b, and c are the lengths of the sides)

7. Area of a circle: A = πr² (where r is the radius)

8. Circumference of a circle: C = 2πr

9. Sum of interior angles of a polygon: (n-2) × 180° (where n is the number of sides)

10. Area of a regular polygon: A = (1/4)n s² cot(π/n) (where n is the number of sides and s is the side length)

11. Pythagorean Theorem: In a right triangle, a² + b² = c² (where a and b are the legs of the triangle and c is the hypotenuse)

12. Volume of a rectangular prism: V = l × w × h

13. Surface area of a rectangular prism: SA = 2lw + 2lh + 2wh

14. Volume of a cylinder: V = πr²h

15. Surface area of a cylinder: SA = 2πr(h + r)

16. Volume of a sphere: V = 4/3πr³

17. Surface area of a sphere: SA = 4πr²

1. Area of a parallelogram: A = b × h (where b is the base and h is the height)

2. Perimeter of a parallelogram: P = 2(a + b) (where a and b are the lengths of the opposite sides)

3. Area of a trapezoid: A = ½(a + b) × h (where a and b are the lengths of the parallel sides and h is the height)

4. Perimeter of a trapezoid: P = a + b + c + d (where a, b, c, and d are the lengths of the sides)

5. Area of a rhombus: A = ½(d₁ × d₂) (where d₁ and d₂ are the lengths of the diagonals)

6. Perimeter of a rhombus: P = 4a (where a is the side length)

7. Area of an equilateral triangle: A = (√3 / 4) × a² (where a is the side length)

8. Perimeter of an equilateral triangle: P = 3a

Important Geometry Formulas

• Area of a rectangle: A = l × w (where l is the length and w is the width)
• Perimeter of a rectangle: P = 2l + 2w
• Area of a square: A = s² (where s is the side length)
• Perimeter of a square: P = 4s
• Area of a triangle: A = ½ × b × h (where b is the base and h is the height)
• Perimeter of a triangle: P = a + b + c (where a, b, and c are the lengths of the sides)
• Area of a circle: A = πr² (where r is the radius)
• Circumference of a circle: C = 2πr
• Sum of interior angles of a polygon: (n-2) × 180° (where n is the number of sides)
• Area of a regular polygon: A = (1/4)n s² cot(π/n) (where n is the number of sides and s is the side length)
• Pythagorean Theorem: In a right triangle, a² + b² = c² (where a and b are the legs of the triangle and c is the hypotenuse)
• Volume of a rectangular prism: V = l × w × h
• Surface area of a rectangular prism: SA = 2lw + 2lh + 2wh
• Volume of a cylinder: V = πr²h
• Surface area of a cylinder: SA = 2πr(h + r)
• Volume of a sphere: V = 4/3πr³
• Surface area of a sphere: SA = 4πr²