Circles in Maths (original) (raw)
A Circle is a closed 2D shape where all points on the boundary are at the same distance from a fixed interior point called the center. That fixed distance is called the radius.
**Circle in Real Life:
- **Wheels of a vehicle: Perfect circles where the radius is the distance from the center to the rim (spokes).
- **Pizza slices: Each slice represents a sector of a circle formed by two radii and an arc.
- **Dartboard: Made of multiple concentric circles sharing the same center point.
- **Clock hands: The movement of hands forms arcs and sectors as time passes.
Foundations
Start with the basics of circles, including their definition, parts, and core properties.
**Measurements of a Circle
Learn how to calculate area, circumference, and other key measurements.
**Parts of a Circle
Understand each part of a circle in detail, along with formulas and properties.
- Chords of a Circle
- Arc of a Circle
- Arc Length Formula
- Sector of a Circle
- Segment of a Circle
- Areas of Sector and Segment of a Circle
- Tangent to a Circle
- Secant of a Circle
**Angles in a Circle
Learn how angles are formed inside, on, and outside a circle.
- Central Angle of a Circle
- Inscribed Angles
- Inscribed and Circumscribed Figures
- Inscribed Shapes in a Circle
**Circle Theorems
Master important theorems and results used in solving circle problems.
**Cyclic Quadrilateral
Study special quadrilaterals formed within a circle and their properties.
**Equation of a Circle
Understand how to represent a circle using coordinate geometry.
**Practice
Test your understanding with quizzes, worksheets, and problems.