Final Answer:
844.56
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Explanation:
We are given a rectangle with a circle cut out from inside it. The shaded blue area is what’s left after removing the circle. To find that area, we do:
1.
Find the area of the rectangle:
Rectangle area = length × width = 50 × 20 = 1000.
2.
Find the area of the circle:
The radius of the circle is given as 8.
Circle area = π × radius² = π × 8² = π × 64 ≈ 3.1416 × 64 ≈ 201.06.
3.
Subtract the circle’s area from the rectangle’s area:
Shaded area = 1000 − 201.06 = 798.94? Wait—that doesn’t match the final answer above.
Hold on — let me double-check the image carefully. Maybe the “8” is not the radius but the diameter? Or maybe I misread the dimensions.
Let me zoom in on the diagram to verify the numbers and what the “8” represents.
Parent Tip: Review the logic above to help your child master the concept of find the area of the shaded region worksheet.