Study Notes
The area of a shape refers to the amount of space it occupies in a two-dimensional plane. Different formulas are used to calculate the area depending on the shape.
- Area of Rectangle — The space occupied by a rectangle. Example: Area = Length x Breadth
- Area of Square — The space occupied by a square. Example: Area = Length x Length
- Area of Composite Figures — The total area of combined shapes. Example: Area of figure = Area of A + Area of B
- Area of Circle — The space occupied by a circle. Example: Area = πr²
- Area of Triangle — The space occupied by a triangle. Example: Area = 1/2 x Base x Perpendicular Height
- Area of Parallelogram — The space occupied by a parallelogram. Example: Area = Base x Perpendicular Height
- Area of Trapezium — The space occupied by a trapezium. Example: Area = 1/2 x (a + b) x h
- Area of Prism and Cylinder — The total area including bases and curved surfaces. Example: Area = 2(Πr²) + 2Πrh
Exam Tips
Key Definitions to Remember
- Area of Rectangle = Length x Breadth
- Area of Square = Length x Length
- Area of Circle = πr²
- Area of Triangle = 1/2 x Base x Perpendicular Height
- Area of Parallelogram = Base x Perpendicular Height
- Area of Trapezium = 1/2 x (a + b) x h
Common Confusions
- Confusing the formulas for area of a rectangle and a square
- Mixing up the formulas for area of a circle and circumference
Typical Exam Questions
- What is the area of a rectangle with length 5 cm and breadth 3 cm? Answer: 15 cm²
- How do you find the area of a composite figure? Answer: Break it into simpler shapes and sum their areas
- What is the area of a circle with radius 4 cm? Answer: 16π cm²
What Examiners Usually Test
- Ability to apply the correct formula for different shapes
- Understanding of units of area
- Problem-solving with composite figures