MA.912.G.6.6Archived Standard

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Given the center and the radius, find the equation of a circle in the coordinate plane or given the equation of a circle in center-radius form, state the center and the radius of the circle.

Remarks

Example: Find the equation of the circle with radius 10 and center (6, -3).
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Geometry
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Circles - Define and understand ideas related to circles (radius, tangent, chord, etc.). Perform constructions, and prove theorems related to circles. Find measures of arcs and angles related to them, as well as measures of circumference and area. Relate geometry to algebra by finding the equation of a circle in the coordinate plane.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)
    • Also Assesses:

    MA.912.G.6.7 Given the equation of a circle in centerradius form or given the center and the radius of a circle, sketch the graph of the circle.
  • Clarification :
    Students will identify the center, radius, and/or graph of a circle given the equation of a circle, or write the equation of a circle given the center, radius, and/or graph.
  • Content Limits :
    Equations of circles must be presented in center-radius form, where h and k are rational and r may be irrational. Items will not require students to manipulate equations to or from standard form.
  • Stimulus Attributes :

    Items may be set in either mathematical or real-world contexts.

    Graphics should be used in most of these items, as appropriate.

Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: Circle Q has a radius of 5 units with center Q (3.7, -2). Which of the following equations defines circle Q?
  • Difficulty: N/A
  • Type: MC: Multiple Choice

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