Geometry

• What is the formula for the perimeter of a rectangle?

  Perimeter = 2(length + width)
• How do you calculate the area of a rectangle?

  Area = length × width
• What is the formula for the area of a triangle?

  Area = $\frac{1}{2} \times base \times height$
• How is the area of a parallelogram calculated?

  Area = base × height
• What is the formula for the area of a trapezium?

  Area = $\frac{1}{2} (a + b) h$
• What do the variables a and b represent in the trapezium area formula?

  a and b are lengths of parallel sides
• What is the formula for the circumference of a circle?

  C = $2\pi r$ or $C =$$\pi d$
• How do you calculate the area of a circle?

  Area = $\pi r^2$
• What is the formula for the volume of a prism?

  Volume = area of cross-section × length
• How is the volume of a cylinder calculated?

  Volume = $\pi r^2 h$
• What is the formula for the volume of a cone?

  Volume = $\frac{1}{3} \pi r^2 h$
• How do you calculate the volume of a sphere?

  Volume = $\frac{4}{3} \pi r^3$
• What is the formula for the surface area of a sphere?

  Surface area = $4\pi r^2$
• How is the volume of a pyramid calculated?

  Volume = $\frac{1}{3} \times Base \, area \times h$
• What is the formula for arc length of a circle?

  Arc length = $\frac{\theta}{360} \times 2\pi r$
• How do you calculate the area of a sector?

  Area of sector = $\frac{\theta}{360} \times \pi r^2$
• What is the formula for density?

  Density = $\frac{Mass}{Volume}$