GED Mathematical Reasoning TestQuantitative Problem Solving with MeasurementMedium
A gardener is installing a new circular fountain with a diameter of 6 feet. To prevent weed growth, a special landscape fabric needs to be placed under the fountain. What is the approximate area of the landscape fabric needed, in square feet?
- A28.26 ft²
- B9.42 ft²
- C113.04 ft²
- D18.84 ft²
Show answer & explanationAnswer & explanation
Correct answer: A. 28.26 ft²
To find the area of the circular fabric, use the formula A = πr². Remember to first find the radius from the given diameter (r = d/2).
Why the other options are wrong
- B. This is the circumference if radius was 3, or half of diameter used as radius.
- C. This results from using the diameter as the radius (π * 6²).
- D. This is the circumference of the circle (πd), not the area.
Area of a Circle
The amount of two-dimensional space enclosed within a circle.
- Formula: A = πr²
- r is the radius, which is half of the diameter
- Units are square units (e.g., ft², m²)
Memory trick: Pi-R-Squared for Circle's Ground