Now give me all the formulas under mensuration leave none...I'm talking about all the shapes....total surface area, volume etc

• Side length: $s$
• Area: $A = s^2$
• Perimeter: $P = 4s$

• Length: $l$, Width: $w$
• Area: $A = l \times w$
• Perimeter: $P = 2(l + w)$

• Base: $b$, Height: $h$
• Area: $A = \frac{1}{2} \times b \times h$
• For a triangle with sides $a, b, c$ (Heron's formula):
  • Semi-perimeter: $s = \frac{a+b+c}{2}$
  • Area: $A = \sqrt{s(s-a)(s-b)(s-c)}$
• For an equilateral triangle with side $a$:
  • Area: $A = \frac{\sqrt{3}}{4} a^2$
  • Perimeter: $P = 3a$

• Radius: $r$, Diameter: $d = 2r$
• Area: $A = \pi r^2$
• Circumference: $C = 2\pi r = \pi d$

• Parallel sides: $a, b$, Height: $h$
• Area: $A = \frac{1}{2}(a+b)h$

• Base: $b$, Height: $h$
• Area: $A = b \times h$
• Perimeter: $P = 2(a+b)$ (where $a$ and $b$ are adjacent sides)

• Diagonals: $d_1, d_2$
• Area: $A = \frac{1}{2} d_1 d_2$
• Perimeter: $P = 4s$ (where $s$ is the side length)

• Radius: $r$, Angle (in degrees): $\theta$
• Area: $A = \frac{\theta}{360^\circ} \times \pi r^2$
• Arc Length: $L = \frac{\theta}{360^\circ} \times 2\pi r$

• Radius: $r$, Angle (in degrees): $\theta$
• Area of segment = Area of sector - Area of triangle
• Area: $A = \frac{\theta}{360^\circ} \times \pi r^2 - \frac{1}{2} r^2 \sin(\theta)$

3D Shapes

• Side length: $s$
• Volume: $V = s^3$
• Total Surface Area (TSA): $TSA = 6s^2$
• Lateral Surface Area (LSA): $LSA = 4s^2$

• Length: $l$, Width: $w$, Height: $h$
• Volume: $V = l \times w \times h$
• Total Surface Area (TSA): $TSA = 2(lw + lh + wh)$
• Lateral Surface Area (LSA): $LSA = 2h(l+w)$

• Radius: $r$, Height: $h$
• Volume: $V = \pi r^2 h$
• Curved Surface Area (CSA): $CSA = 2\pi r h$
• Total Surface Area (TSA): $TSA = 2\pi r h + 2\pi r^2 = 2\pi r(h+r)$

• Radius: $r$, Height: $h$, Slant height: $l = \sqrt{r^2 + h^2}$
• Volume: $V = \frac{1}{3} \pi r^2 h$
• Curved Surface Area (CSA): $CSA = \pi r l$
• Total Surface Area (TSA): $TSA = \pi r l + \pi r^2 = \pi r(l+r)$

• Radius: $r$
• Volume: $V = \frac{4}{3} \pi r^3$
• Surface Area: $SA = 4\pi r^2$

• Radius: $r$
• Volume: $V = \frac{2}{3} \pi r^3$
• Curved Surface Area (CSA): $CSA = 2\pi r^2$
• Total Surface Area (TSA): $TSA = 2\pi r^2 + \pi r^2 = 3\pi r^2$

• Base Area: $A_b$, Height: $h$
• Volume: $V = \frac{1}{3} A_b h$
• For a square pyramid with base side $s$ and slant height $l_s$:
  • Base Area: $A_b = s^2$
  • Lateral Surface Area (LSA): $LSA = 2s l_s$
  • Total Surface Area (TSA): $TSA = s^2 + 2s l_s$

• Base Area: $A_b$, Height: $h$, Perimeter of Base: $P_b$
• Volume: $V = A_b h$
• Lateral Surface Area (LSA): $LSA = P_b h$
• Total Surface Area (TSA): $TSA = P_b h + 2A_b$