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Problem of the Week 6/12

Jun 13, 2017

Check out our Facebook @mathnasiumofwestlexington for the question! 

Here's the answer:

Answer: 16π feet
Solution: If the small umbrella has an area of 16π square feet, its radius must be 4 feet. If its shadow has a circumference of 16π feet, then its radius must be 8 feet. The radius of the shadow is double the radius of the umbrella. Since we know the area of the larger shadow is 256π square feet, its radius must be 16 feet. That means that the radius of the larger umbrella must be half of that, 8 feet, making its circumference 16π feet.