Problem preview

G-GPE.1 Warmup M2-041-A02-V04

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

Read separate center and radius fields from circle standard form

Problem

What are the center and radius of the circle \((x+4)^{2}~+~(y+5)^{2}~=~9\)?

Answer choices

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Center (4,5), radius 3.

Center (−4,−5), radius 3.

Center (−4,−5), radius −3.

Center (−4,−5), radius 9.

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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: Read separate center and radius fields from circle standard form