Problem preview
G-GPE.1 Warmup M2-041-A13-V02

Derive the equation of a circle from center/radius and complete the square to identify center/radius.

Compare two circles by records and spatial position

Problem

How are the circles \((x-1)^{2}+(y-1)^{2}=9\) and \((x-8)^{2}+(y-1)^{2}=4\) positioned relative to each other?

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GPE.1
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Derive the equation of a circle from center/radius and complete the square to identify center/radius.
Problem type
Compare two circles by records and spatial position