Year 8 Maths Formulas Flashcards

Area Formulas

• Area of a Triangle: Calculated using the formula 1/2 x base (b) x height (h), essential for finding the size of triangular shapes.
• Area of a Parallelogram: Determined by the formula base (b) x height (h), useful for quadrilaterals with opposite sides parallel.
• Area of a Circle: Given by π (pi) x radius (r)², vital for calculations involving circular spaces.
• Area of a Rhombus: Uses the formula p x q ÷ 2, where p and q are the lengths of the diagonals.
• Area of a Kite: Also calculated with the formula p x q ÷ 2, similarly based on the lengths of the diagonals.

Surface Area Formulas

• Surface Area of a Cone: Calculated using π x radius (r) x (r + √(height² + radius²)); important for conical shapes.
• Surface Area of a Sphere: Determined by the formula 4 x π x radius (r)², key for understanding three-dimensional spheres.
• Surface Area of a Cylinder: Found using (2 x π x radius (r)²) + (2 x π x radius (r) x height (h)), combining circular and lateral areas.

Volume Formulas

• Volume of a Sphere: Given by 4/3 x π x radius (r)³, essential for calculating the capacity of spherical objects.
• Volume of a Cylinder: Formula is π x radius (r)² x height (h), crucial for cylindrical containers.
• Volume of a Cone: Calculated with 1/3 x π x radius (r)² x height (h), important for objects like ice cream cones.
• Volume of a Pyramid: Uses the formula 1/3 x area of base x height (h), applicable for pyramidal structures.

Circle Measurements

• Circumference of a Circle: Determined by 2 x π x radius (r), useful for finding the perimeter around circular shapes.
• Diameter from Circumference: Can be calculated using circumference (c) ÷ π, linking linear measurements to circular ones.