Master Related Rates in IB Math: Step-by-Step Guide to Growing Circle Problems 📘

In this step-by-step tutorial, we’ll solve a classic related rates question involving a growing circle:

📘 Problem Recap:
The radius of a circle increases at 3 cm per second.
✅ Find: The rate at which the area increases when the radius is 4π cm.

You’ll learn how to:
✅ Differentiate the formula for the area of a circle (A = πr²) with respect to time
✅ Apply the chain rule correctly
✅ Substitute known values to find dA/dt
✅ Avoid the most common IB Math exam mistakes

💡 Key Concepts Covered:
✔ Related rates problems
✔ Implicit differentiation
✔ Chain rule in calculus
✔ Units interpretation (cm² per second)

✅ Answer: The area increases at 24π² cm²/sec

📈 Whether you’re preparing for IB Mathematics AA, AP Calculus, or high school exams, this video will boost your confidence and problem-solving speed.

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