Mensuration & Geometry: Comprehensive Notes and 100 Practice Questions with Answers
Mensuration & Geometry: Comprehensive Notes and 100 Practice Questions with Answers 1. Mensuration: Introduction and Key Concepts Mensuration is the branch of mathematics that deals with measurement of geometric figures—calculating area, perimeter, volume, and surface area for 2D and 3D shapes 1 2 5 8 . It is essential for understanding the size, shape, and space occupied by objects, with applications in engineering, architecture, and everyday life. 2. 2D Geometry: Area and Perimeter Formulas Shape Area Perimeter (Circumference) Square a 2 a 2 4 a 4 a Rectangle l × b l × b 2 ( l + b ) 2 ( l + b ) Circle π r 2 π r 2 2 π r 2 π r Triangle 1 2 × base × height 2 1 × base × height a + b + c a + b + c (sum of sides) Equilateral Triangle 3 4 a 2 4 3 a 2 3 a 3 a Isosceles Triangle 1 2 b h 2 1 bh 2 a + b 2 a + b Scalene Triangle s ( s − a ) ( s − b ) ( s − c ) s ( s − a ) ( s − b ) ( s − c ) , s = a + b + c 2 s = 2 a + b + c a + b + c a + b + c Parallelogram b ×...