Study Document

By Niraj Kumar (Founder & Educator, BR DOT HUB) • Category: EXAM NOTES • Reading Time: 8 Mins • Updated: September 2026

Date Start: 01 Oct 2026, 08:00 AM

Published: true

Complete Mathematics Formula Sheet

Rectangle: Perimeter = $2(l + b)$; Area = $l \times b$; Diagonal = $\sqrt{l^2 + b^2}$

Square: Perimeter = $4a$; Area = $a^2$; Diagonal = $a\sqrt{2}$

Circle: Circumference = $2\pi r$; Area = $\pi r^2$

Cylinder: Curved Surface Area = $2\pi r h$; Total Area = $2\pi r(r + h)$; Volume = $\pi r^2 h$

Cone: Slant height $l = \sqrt{r^2 + h^2}$; CSA = $\pi r l$; Volume = $\frac{1}{3}\pi r^2 h$

Sphere: Surface Area = $4\pi r^2$; Volume = $\frac{4}{3}\pi r^3$

$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$

$1\text{ km/h} = \frac{5}{18}\text{ m/s}$; $1\text{ m/s} = \frac{18}{5}\text{ km/h}$

Average Speed for equal distances: $\frac{2xy}{x+y}$

$SI = \frac{P \times R \times T}{100}$

$A = P\left(1 + \frac{R}{100}\right)^n$ (Annual compounding)

Difference between CI and SI for 2 years: $D_2 = P\left(\frac{R}{100}\right)^2$