MathematicsClass 6Basic Geometrical Ideas

Circles

Learning the anatomy of a circle including its center, radius, diameter, chord, and circumference.

Class 6 · MathematicsCBSE & ICSE SOF IMO

Definition

A circle is a simple closed curve where every point on the boundary is at an equal distance from a fixed central point. The fixed point is the center, the constant distance is the radius, and a line segment passing through the center connecting two points on the boundary is the diameter.

Key formula

Diameter (d) = 2 * Radius (r)

Worked examples

1

A bangle, a coin, and a bicycle wheel rim represent circles.

2

Drawing a shape using a compass with the needle fixed at a point produces a circle.

3

The Earth's equator can be visualized as a circular boundary.

Common mistakes

  • Confusing the radius with the diameter by assuming the radius goes all the way across the circle.
  • Measuring the radius or diameter starting from the edge of the ruler instead of the zero mark.
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