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ASVAB · Applied Geometry

A circular target has a radius of 7 inches. What is its area? (Use π ≈ 3.14)

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Correct answer

153.86 sq in

  1. A 87.92 sq in
  2. B 153.86 sq in
  3. C 219.8 sq in
  4. D 43.96 sq in

Why this is the answer

Area = π r² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 square inches. Square the radius before multiplying by π — the most common error is doubling it instead (3.14 × 14 = 43.96, the first distractor, which is actually the circumference). 87.92 is 2 × 43.96 and 219.8 is 3.14 × 70. If the question gives a diameter instead, halve it first to get the radius.
Source: ASVAB AR, Circle Area

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About this topic: Applied Geometry

Applied geometry on the ASVAB means perimeter, area and volume of everyday shapes — carpet for a room, fencing for a yard, water in a tank. The formulas are simple; the trap is choosing area when the question needs perimeter, or forgetting units. This is one of 9 Arithmetic Reasoning questions on applied geometry, each with a full explanation on a single study page.

New to this exam? Our ASVAB exam guide explains the format, scoring, and how to prepare.

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