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للاع مثلث متساوي الأضلاع بمعدل 2cm/min رسمت دانرة داخل المثلث تُمس أضلاعه و أخذت تتمدد 12cm ـد معدل تمدد مساحة المنطقة المحصورة بين المثلث و الدانرة عندما يكون طول ضلع المثلث " الجواب : "12sqrt3-4pi

للاع مثلث متساوي الأضلاع بمعدل 22cm/min رسمت دانرة داخل المثلث تُمس أضلاعه و أخذت تتمدد 12 cm 12 \mathrm{~cm} ـد معدل تمدد مساحة المنطقة المحصورة بين المثلث و الدانرة عندما يكون طول ضلع المثلث\newline الجواب : 123−4π \text { الجواب : } 12 \sqrt{3}-4 \pi

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Q. للاع مثلث متساوي الأضلاع بمعدل 22cm/min رسمت دانرة داخل المثلث تُمس أضلاعه و أخذت تتمدد 12 cm 12 \mathrm{~cm} ـد معدل تمدد مساحة المنطقة المحصورة بين المثلث و الدانرة عندما يكون طول ضلع المثلث\newline الجواب : 123−4π \text { الجواب : } 12 \sqrt{3}-4 \pi
  1. Identify Formula: Identify the formula for the area of the equilateral triangle and the circle inside it.
  2. Relate Radius: Relate the radius rr of the circle to the side length ss of the triangle.
  3. Calculate Derivative: Calculate the derivative of the area between the triangle and the circle with respect to time.
  4. Calculate Final Value: Calculate the final value for the rate of change of the area.

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