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Master Class 10 Maths Chapter 12: Areas Related to Circles – Formulas, NCERT Solutions & CBSE Questions Explained

✅ Class 10 Maths Chapter 12: Areas Related to Circles 📚 Chapter Overview: This chapter helps students apply the properties of circles to find the area and perimeter (circumference) of sectors , segments , and composite figures involving circles. It blends geometry and mensuration skills for real-life applications. 🧠 Key Concepts, Formulas, and Theorems: 🔹 1. Circle: A closed two-dimensional figure where all points are equidistant from a fixed point (center). Radius (r): Distance from center to any point on the circle. Diameter (d): Twice the radius, i.e., d = 2 r d = 2r Circumference: Total boundary length of the circle Circumference = 2 Ï€ r \text{Circumference} = 2\pi r 🔹 2. Area of a Circle: Area = Ï€ r 2 \text{Area} = \pi r^2 Where Ï€ = 22 7  or  3.14 \pi = \frac{22}{7} \text{ or } 3.14 🔹 3. Sector of a Circle: A sector is a portion of a circle enclosed by two radii and the arc between them. Area of Sector : θ 360 ∘ × Ï€ r 2 \frac{\th...