Math Problem Statement
Solve for the given variables:
a) A = 𝜋r2 , for r (don't put the plus or minus (±) here as the system will reject it )
r =
Solution
To solve for in the equation , follow these steps:
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Start with the equation:
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Divide both sides by to isolate :
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Take the square root of both sides to solve for :
Thus, the solution for is:
Would you like more details on this solution?
Here are some related questions:
- What is the value of if square units?
- How does the equation change if the shape is an ellipse instead of a circle?
- Can you express in terms of another variable related to circumference ?
- What happens to if you double the area ?
- How is this formula derived from the basic geometry of a circle?
Tip: Always double-check the units of to ensure correct application of the formula.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Area of a Circle
Formulas
A = 𝜋r²
r = √(A/𝜋)
Theorems
Area of a Circle
Suitable Grade Level
Grades 7-9