7th Grade · Geometry

Radius

7.G.B.4

Definition

The distance from the center of a circle to any point on the circle. All radii of a circle are equal. r = d/2. Used in circumference (C = 2πr) and area (A = πr²).

Examples

  • If r = 5cm, C = 2π(5) = 31.4 cm.
  • A = π(5)² = 25π ≈ 78.5 cm².

Key rule

The radius is half the diameter — most circle formulas use r.

Memory hook

Center to edge — that's the radius.