Problem preview
A-CED.4 Warmup M2-004-A05-V03

Rearrange formulas to isolate a chosen quantity, including formulas with quadratic terms.

Rearrange a formula with a squared expression to solve for the variable inside the square

Problem

Given \(A=\pi~(r-2)^{2}\) with \(A\ge~0\), solve the equation for all real values of \(r\). Divide out \(\pi~\), take both square-root branches, and account for the shift inside the square.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-CED.4
Category
Algebra
Domain
Creating Equations
Objective
Rearrange formulas to isolate a chosen quantity, including formulas with quadratic terms.
Problem type
Rearrange a formula with a squared expression to solve for the variable inside the square