Understand the concept of Pi, know common estimates of Pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles.
Subject Area: X-Mathematics (former standards - 2008)
Grade: 6
Body of Knowledge: Geometry
Supporting Idea: Geometry and Measurement - Geometry and Measurement
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved
Assessed: Yes


Using various circular objects, students determine that the ratio of circumference to diameter approximates the value of Pi.


  • Reporting Category: Geometry and Measurement
  • Item Type(s): This benchmark will be assessed using: MC item(s)
    Also assesses MA.6.A.3.4 Solve problems given a formula.
  • Clarification :
    Students will use 22/7 or 3.14 as an approximation for to determine the approximate circumference and area of circles. 

    Students will find the diameter or radius, given the circumference or area of a circle.

  • Content Limits :
    Items may include using vocabulary such as radius, diameter, and center.

    Item graphics or options may include the use of visual representations or vocabulary associated with a circle, such as chord, arc, sector, and central angle. These terms will not be directly assessed.
  • Stimulus Attributes :
    Items may be set in a real-world or mathematical context.

    Graphics should be used in most of these items, as appropriate.
  • Response Attributes :
    Multiple-choice responses should include only correct units (e.g., answers for area questions should all have square units).


  • Test Item #: Sample Item 1
  • Question: In a regulation wrestling match, wrestlers compete within a circular zone 9 meters in diameter.

    Mat Diagram

    Which of the following is closest to the area of the circular zone?

  • Difficulty: N/A
  • Type: MC: Multiple Choice