Geometry Module 5 Topic B Overview

Group Working Together

Topic B defines the measure of an arc and establishes results relating chord lengths and the measures of the arcs they subtend.  Students build on their knowledge of circles from Module 2 and prove that all circles are similar.  Students develop a formula for arc length in addition to a formula for the area of a sector and practice their skills solving unknown area problems.

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Common Core Learning Standards

CCLS State Standard
G.C.1 Prove that all circles are similar.
G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the...
G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional...

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