SOLUTION: what is the area of the ring bounded by the inscribed and circimscribed circles if the square has a perimeter of 36?
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Question 606760: what is the area of the ring bounded by the inscribed and circimscribed circles if the square has a perimeter of 36?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If a square has a perimeter of 36, it must have a side measure of 9. Then it has an inscribed circle radius of half of that, or 4.5. The circumscribed circle has a radius that is larger than the inscribed radius by a factor of root 2. Use the area formula for a circle to calculate the areas of the circumscribed and inscribed circles. Subtract the smaller from the larger.
John
My calculator said it, I believe it, that settles it
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