Mathematics · Class 7
Perimeter and Area
Area of parallelograms, triangles, circles, and perimeter of composite figures.
4 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Extend mensuration to parallelograms, triangles, and circles. Learn circumference and area of circle — applied to wheels, fields, and circular tracks.
Parallelogram and Triangle
Parallelogram area
A = base × height
Triangle area
A = ½ × base × height
Rhombus
A = ½ × d₁ × d₂
Circle
Circumference
C = 2πr = πd
Area
A = πr²
π
π ≈ 22/7 or 3.14
Conversions
- 1 hectare = 10,000 m²
- Break composite figures into known shapes
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Circle Area
Radius of circular garden is 7 m. Find area.
- 1A = πr²
- 2= 22/7 × 7 × 7
Answer
154 m²
Example 2: Parallelogram
Base 12 cm, height 8 cm. Find area.
- 1A = b × h
- 2= 12 × 8
Answer
96 cm²
Key Points to Remember
- ✓ Height must be perpendicular to base
- ✓ Use correct π value as specified
- ✓ Perimeter of circle = circumference
Exam Tips
- • Write π = 22/7 if radius multiple of 7
- • Include units in final answer
Practice MCQs — Perimeter and Area
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
Circumference of circle r=7 cm (π=22/7):