Access Point #: MAFS.912.G-C.2.AP.5a (Archived Access Point)


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Find the arc length of a circle.

Clarifications:

Essential Understandings

Concrete:

  • Use a pipe cleaner to measure the radius and compare it to the arc length.
  • Measure the radius of a circle.
  • Use a protractor to measure angles.
  • Use geometry software to manipulate circles based on their radius and circumference.
Representation:
  • Given an angle and the radius, use the formula (θbegin mathsize 12px style x space straight pi divided by 180 right parenthesis space straight x space straight r end style to find the arc length.
  • Calculate the circumference of a circle.
  • Use appropriate tools to calculate the arc length of a circle.
  • Understand the following concepts and vocabulary: radian, degree, arc, arc length and circumference.

Number: MAFS.912.G-C.2.AP.5a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Find arc lengths and areas of sectors of circles. (Geometry - Additional Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.G-C.2.5: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.



Related Courses

Name Description
1200400: Foundational Skills in Mathematics 9-12
1206310: Geometry
1206320: Geometry Honors
1206315: Geometry for Credit Recovery
7912065: Access Geometry