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ASVAB · Applied Geometry

A circular garden has a radius of 7 feet. Using π ≈ 22/7, what is its area?

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Correct answer

154 square feet

  1. A 44 square feet
  2. B 22 square feet
  3. C 154 square feet
  4. D 308 square feet

Why this is the answer

The area of a circle is π × r². Here r = 7, so r² = 49, and area = (22/7) × 49 = 22 × 7 = 154 square feet. Using 22/7 for π is convenient when the radius is a multiple of 7 because the 7 cancels neatly. Don't confuse area (πr²) with circumference (2πr); the circumference here would be 2 × (22/7) × 7 = 44 feet, offered as a distractor. The garden's area is 154 square feet. Remember area uses the radius squared, while circumference uses the radius to the first power.
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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