뒤로Solving for a Variable in a Formula: Isolating g in A = 3πg
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Q1. Solve for g in the equation A = 3\pi g.
Background
Topic: Solving Literal Equations (Formulas)
This question is testing your ability to isolate a specific variable (g) in a formula. This is a common skill in intermediate algebra, where you manipulate equations to solve for one variable in terms of others.
Key Terms and Formulas
Literal equation: An equation involving two or more variables.
Isolate: To get the variable you want by itself on one side of the equation.
Equation given:
Step-by-Step Guidance
Start with the given equation:
To solve for , you need to get by itself on one side of the equation. Notice that is being multiplied by .
To undo the multiplication, divide both sides of the equation by :
Simplify the right side so that is isolated.