Maths

• What is the formula for the area of a circle?

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

  Circumference = $\pi D$
• How is the diameter of a circle calculated from the radius?

  Diameter = $R \times 2$
• How is the radius of a circle calculated from the diameter?

  Radius = $D/2$
• What is the formula for the hypotenuse in a right triangle?

  Hypotenuse = $\sqrt{a^2 + b^2}$
• What is the formula for the shorter side in a right triangle?

  Shorter side = $\sqrt{a^2 - b^2}$
• What are the components of a circle related to chords and tangents?

  • Tangent: A line that touches the circle at one point.
  • Chord: A line segment with both endpoints on the circle.
• How do you calculate the average when sharing a total amount?

  Add up parts and divide by amount shared
• What is the formula for the perimeter of a semicircle?

  Perimeter = $c/2 +$$D$
• What is standard form in mathematics?

  Expressing and simplifying numbers using powers of ten
• How is the number 15000 expressed in standard form?

  15000 = $1.5 \times 10^4$
• How is the number 0.150 expressed in standard form?

  0.150 = $1.5 \times 10^{-2}$
• What is the BODMAS rule in calculations?

  • Brackets
  • Orders (powers and roots)
  • Division and Multiplication
  • Addition and Subtraction
• What is the reciprocal of a number?

  Reciprocal = $1/\text{number}$
• How do you simplify $3 \times 10^5 \div 4.5 \times 10^7$?


  $1 \times 10^{-2}$
• What is the result of $3 \times 10^5 \div 3 \times 10^2$?


  $1 \times 10^3$
• What is the result of $1 \times 10^3 \div 10^2$?


  $1 \times 10^1$
• What are the steps to simplify standard form?

  1. Divide the coefficients.
  2. Subtract the exponents of ten.
  3. Express the result in standard form.