ASVAB · Geometry

What is the area of a circle with a radius of 4 (use π ≈ 3.14)?

Correct answer

50.24

  1. A 50.24
  2. B 12.56
  3. C 16
  4. D 25.12

Why this is the answer

AREA of a circle = πr² = 3.14 × 4² = 3.14 × 16 = 50.24 square units. ASVAB Mathematics Knowledge tests circle formulas. Strategy: square the radius FIRST (4² = 16), then multiply by π.

Common error: multiplying π × r first then squaring, or confusing area (πr²) with circumference (2πr = 2 × 3.14 × 4 = 25.12). Remember: AREA = πr² (squared, uses radius²); CIRCUMFERENCE = 2πr (the distance around). The radius is squared, not doubled, for area.

Source: ASVAB Mathematics Knowledge — Circle Area

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About this topic: Geometry

Geometry on the Mathematics Knowledge section covers angles, triangles (including the Pythagorean theorem), circles, polygons, perimeter, area and volume, and basic coordinate geometry such as slope. Formulas are not provided, so they must be memorised. This is one of 19 Mathematics Knowledge questions on geometry, each with a full explanation on a single study page.

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