Shapes

• What is the Pythagorean theorem formula?

  base$^2$ + height$^2$ = hypotenuse$^2$
• How do you calculate the area of a right triangle?

  Area = ½ × base × height
• What is the formula for the perimeter of a right triangle?

  Perimeter = base + height + hypotenuse
• What is the formula for the perimeter of a triangle?

  P = a + b + c
• How is the area of a triangle calculated?

  Area, A = ½ base × height
• What is the formula for the perimeter of a rectangle?

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

  Area = lw
• What is the formula for the diagonal of a rectangle?

  d = √(l$^2$ + w$^2$)
• What is the formula for the perimeter of a parallelogram?

  P = 2(a + b)
• How is the area of a parallelogram calculated?

  Area = base × height
• How do you find the height of a parallelogram using its area?

  Height, h = Area/base
• What is the formula for the area of a trapezium?

  A = ½(a + b)h
• What do a and b represent in the trapezium area formula?

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

  Circumference = 2πr
• How do you calculate the area of a circle?

  Area = πr$^2$
• What is the formula for the diameter of a circle?

  Diameter = 2r
• What does r represent in the circle formulas?

  r is the radius of a circle
• What is the formula for the perimeter of a square?

  P = 4a
• What is the formula for the diagonal of a square?

  d = a√2
• How do you calculate the area of a square?

  Area, A = a$^2$
• How do you find the side of a square from its area?

  a = √A
• What is the formula for the arc length?

  L = rθ
• What does θ represent in the arc length formula?

  θ is the central angle in radians
• What is the formula for the area of a cube?

  A = 6a$^2$
• How do you calculate the volume of a cube?

  Volume, V = a$^3$
• What is the formula for the edge of a cube?

  a = Volume$^{1/3}$
• What is the formula for the space diagonal of a cube?

  Space diagonal = a√3
• What is the formula for the surface area of a cuboid?

  A = 2(lb + bh + hl)
• How do you calculate the volume of a cuboid?

  Volume, V = lbh
• What is the formula for the space diagonal of a cuboid?

  d = √(l$^2$ + b$^2$ + h$^2$)
• What is the formula for the total surface area of a cylinder?

  A = 2πrh + 2πr$^2$
• What is the formula for the curved surface area of a cylinder?

  Ac = 2πrh
• How do you calculate the volume of a cylinder?

  Volume, V = πr$^2$h
• What is the formula for the base area of a cylinder?

  Base Area, Ab = πr$^2$
• How do you find the radius of a cylinder from its volume?

  r = √(V/πh)
• What is the formula for the total surface area of a cone?

  A = πr(r + l)
• How do you calculate the curved surface area of a cone?

  Ac = πrl
• What is the formula for the volume of a cone?

  Volume, V = ⅓πr$^2$h
• What is the formula for the slant height of a cone?

  l = √(h$^2$ + r$^2$)
• What is the formula for the base area of a cone?

  Base Area, Ab = πr$^2$