Class 9 Maths New Course 2026 | Exercise 6.1 Questions 7 & 8 | Area of Sector

Welcome to ALI ACADEMY! In this video, you'll learn the complete step-by-step solution of Exercise 6.1 Questions 7 & 8 from Class 9 Mathematics (Punjab Boards New Course 2026). These questions focus on Area of Sector and finding the percentage of the total area of a circle represented by a sector, explained in a simple and exam-oriented way. 📚 What You'll Learn: Exercise 6.1 Question 7 & Question 8 Area of Sector Percentage of Sector to Total Area of Circle Step-by-Step Board Pattern Solution Short Tricks for Faster Calculations Punjab Board New Course 2026 Preparation 🎯 Best For: Class 9 Students Punjab Boards 2026 School & Board Exam Preparation Self Study PCTB New Course Mathematics 00:00 - Introduction to Question 7 and given values (Central Angle = 60°, Radius = 12 cm). 00:32 - Converting the angle from Degrees to Radians ($\theta = 60 \times \frac{\pi}{180} = \frac{\pi}{3}$). 01:14 - Calculating the Area of the Sector using the formula $A = \frac{1}{2}r^2\theta$. 02:13 - Final calculation for Question 7 (Area ≈ 75.36 cm²). 03:10 - Calculating the Total Area of the Circle ($A = \pi r^2$) for comparison. 04:16 - Finding the Percentage of the Total Area represented by the sector for Question 7 (≈ 16.67%). 06:24 - Question 8: Finding the percentage area of a sector with a central angle of $\frac{\pi}{8}$ radians. 07:42 - Deriving the formula for percentage area: $\frac{\text{Area of Sector}}{\text{Area of Circle}} \times 100%$. 08:20 - Plugging in $\theta = \frac{\pi}{8}$ into the simplified ratio $\frac{\theta}{2\pi} \times 100%$. 09:12 - Final result for Question 8 (Percentage Area = 6.25%). 👍 If this video helps you, don't forget to Like, Share, and Subscribe to ALI ACADEMY for complete Class 9 Maths solutions. #Class9Maths #NewCourse2026 #Exercise61 #Q7 #Q8 #AreaOfSector #Circle #Geometry #PunjabBoard #PCTB #MathsSolution #BoardPreparation #AliAcademy