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G-GPE.1 Warmup M2-041-A11-V03

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

Find a missing parameter in a circle equation

Problem

Find the missing parameter in \(x^2+y^2=k\) given that point \((3,4)\) lies on the circle.

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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
Find a missing parameter in a circle equation