Math Problem Statement
isolate r
Isolate r from the equation A = πr^2.
Solution
The equation in the image is:
To isolate , follow these steps:
-
Divide both sides of the equation by :
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Take the square root of both sides to solve for :
Thus, is the expression for in terms of .
Would you like more details or have any questions?
Here are 5 related questions:
- What is the radius if the area is 100 square units?
- How does changing the area affect the radius ?
- What is the area if the radius is 5 units?
- Can you express the diameter in terms of the area ?
- What happens to the radius if the area is quadrupled?
Tip: When solving equations involving powers, always consider whether you need to take the square root, cube root, etc., to isolate variables.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Formulas
A = πr^2
r = √(A/π)
Theorems
Area of a Circle
Suitable Grade Level
Grades 7-9