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Questions and Answers
What is the formula for the area of a triangle?
What is the formula for the area of a triangle?
What is the formula for the area of a parallelogram?
What is the formula for the area of a parallelogram?
What is the formula for the area of a circle?
What is the formula for the area of a circle?
What is the formula for the area of a rhombus?
What is the formula for the area of a rhombus?
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What is the formula for the area of a kite?
What is the formula for the area of a kite?
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What is the formula for the surface area of a cone?
What is the formula for the surface area of a cone?
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What is the formula for the surface area of a sphere?
What is the formula for the surface area of a sphere?
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What is the formula for the surface area of a cylinder?
What is the formula for the surface area of a cylinder?
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What is the formula for the volume of a sphere?
What is the formula for the volume of a sphere?
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What is the formula for the volume of a cylinder?
What is the formula for the volume of a cylinder?
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What is the formula for the volume of a cone?
What is the formula for the volume of a cone?
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What is the formula for the volume of a pyramid?
What is the formula for the volume of a pyramid?
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What is the formula for the circumference of a circle?
What is the formula for the circumference of a circle?
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What is the formula to find the diameter of a circle from the circumference?
What is the formula to find the diameter of a circle from the circumference?
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Study Notes
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.
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Description
Test your knowledge of essential math formulas with these Year 8 flashcards. Each card presents a different mathematical area calculation, helping you memorize and understand the concepts. Perfect for quick revision before exams!