Final answer:
The area of the circle with a radius of 9.2 centimeters is approximately 265.139 square centimeters. The area of the circle with a diameter of 50.5 inches is approximately 2004.4425 square inches.
Step-by-step explanation:
The area of a circle can be found using the formula A = πr², where A represents the area and r represents the radius of the circle.
For part (a), the radius of the circle is given as 9.2 centimeters. Substituting this value into the formula, we have A = π(9.2)². Evaluating this expression, we find that the area of the circle is approximately 265.139 square centimeters.
For part (b), the diameter of the circle is given as 50.5 inches. The radius can be found by dividing the diameter by 2, so the radius is 25.25 inches. Substituting this value into the formula, we have A = π(25.25)². Evaluating this expression, we find that the area of the circle is approximately 2004.4425 square inches.