1. STANDARD = 10TH
DIVISION = B

2. GEOMETRY
FORMULAE

3. Distance =x2 + y2 = r2

4. SIOPE OF LINE = Y₂ - Y₁ MEANS Y₁ - Y₂
X₂ - X₁ X₁ - X₂

5. SLOPE INTERSEPT FORM= y = mx + c

6. SLOPE POINT FORM =y – y₁= m ( x – x₁ )

7. SLOPE TWO POINT FORM = X - X₁ = Y - Y₁

8. Slope double intercept form = x + Y = 1
x-intercept Y-intercept

9. LENGTH OF ARC = θ × 2πr
360

10. AREA OF SECTOR = θ × πr²
360

11. AREA OF SECTOR = r × l(arc)2

12. AREA OF SEGMENT = r² [ πθ _ sinθ ]

13. TOTAL SURFACE AREA OF CUBOID = 2 ( lb + bh + lh )
VERTICAL SURFACE AREA OF CUBOID = 2 ( l + b ) h

14. DIGONAL OF THE CUBOID = √ l² + b² + h²

15. VOLUME OF A CUBOID = l × b × h

16. TOTAL SURFACE AREA OF THE CUBE (st) = 6l²

17. VOLUME OF CUBE = l³

18. DIAGONAL OF THE CUBE = √3 l units.

19. CURVED SURFACE AREA OF THE CYLINDER = 2 πrh

20. AREA OF TWO CIRCULAR FACES = 2πr²

21. TOTAL SURFACE AREA OF THE CYLINDER = 2πr ( h + r )

22. VOLUME OF CYLINDER = πr²h

23. SLANT HEIGHT = √ h² + r²

24. CURVED SURFACE AREA OF CONE = πrl

25. TOTAL SURFACE AREA OF THE CONE = 1 πr²h3

26. SLANT HEIGHT OF THE FRUSTUM = √ h²+ ( r₁ - r₂ ) ²

27. CURVED SURFACE AREA OF THE FRUSTUM = π ( r₁ + r₂ )l

28. TOTAL SURFACE AREA OF THE FRUSTUM = π ( r₁ + r₂ )l + πr₁² + πr₂²

29. VOLUME OF THE FRUSTUM = 1 π( r₁² + r₂² + r₁ ×r₂)h3

30. TOTAL SURFACE AREA SPHERE = 4πr²

31. VOLUME OF THE SPHERE = 4 πr³3

32. TOTAL SURFACE AREA OF HEMISPHERE = 3πr²

33. VOLUME OF HEMISPHERE = 2 πr³3