Core Concepts & Formulas
1. Basic Circle Formulas
Circumference = 2πr
Area = πr²
2. Sector & Arc Length
Arc Length = (θ / 360°) × 2πr
Area of Sector = (θ / 360°) × πr²
3. Area of Segment
Area of Segment = Area of Sector - Area of Corresponding Triangle
Points to Remember
Sector: The region enclosed between two radii and the corresponding arc of a circle.
Segment: The region enclosed between a chord and the corresponding arc of a circle.
Important Practice Questions
- Find the area of a sector of a circle with a given angle θ and radius r.
- Find the area of a shaded region formed by combining geometric figures (e.g., circle and square).
- Find the area of a minor segment of a circle given the radius and central angle.
Quick Revision
Sector Area
(θ / 360°) × πr²
Segment Area
Area of sector - Area of triangle