Equations

• What is the equation for the area of a trapezium?

  1/2(a+b)h
• What is the equation for the volume of a pyramid?

  1/3 x area of base x height
• What is the sine rule?

  a/sin(A) = b/sin(B) = c/sin(C)
• What is the cosine rule?

  a^2 = b^2 + c^2 - 2bc x cos(A)
• What is the equation for frequency density?

  Frequency Density = Frequency/Class Interval
• What is the equation for the volume of a hemisphere?

  2/3 x 3.14 x r^3
• What is the trapezium rule?

  Height/2 X (First height + Last height + 2 X (All other values))
• What is the speed, distance, time equation?

  Distance = Speed X Time
• What is the mass, density, volume equation?

  Mass = Density X Volume
• How do you work out the gradient of a graph?

  Change in y/Change in x
• How do you find the area of a triangle using sine?

  1/2 x ab x sin C
• How do you work out the area of a sector?

  Θ/360 x $\pi r ^2$
• How do you work out the length of an arc?

  Θ/360 x 2 x$\pi r$
• How do you work out the surface area of a cone?

  $\pi r l$ + $\pi r ^2$ (l = slant height)
• How do you work out the surface area of a sphere?

  4$\pi r ^2$
• How can the cosine rule be rearranged?

  cos A = b² + c² - a² / 2bc

  b² = a² + c² - 2ac x cos B
• How do you work out the surface area of a cylinder?

  2$\pi r ^2$ + 2$\pi r h$