Final answer:
To find the area of the shaded region, calculate the area of the total large circle, calculate the area of the smaller congruent circles and multiply it by the quantity. Subtract total smaller circles area from the total large circle area.
Step-by-step explanation:
Without specific measurements provided in the question, I will use general terms to explain how to solve this problem. To find the area of the shaded region, you will follow several steps. First, find the area of the full circle (let's denote it as ATotal). This is done by using the formula πr², where r is the radius of the circle.
Next, calculate Area of each smaller circle (Asmall_circle).If it's mentioned that smaller circles are congruent, then their areas would be equal. Use the same formula as above.
Then, you need to find out how many smaller circles are there and multiply the individual smaller circle's area with the quantity to get total area of smaller circles.
The shaded region's area will be the difference between the total large circle's area and the total smaller circles' area, i.e., Ashaded = ATotal - Quantity * Asmall_circle. Finally, round your answer to the nearest hundredth as asked.
Learn more about Areas of Circles