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28 votes
28 votes
Describe a rectangle whose perimeter is 132 ft, and whose area is less than 1 ft squared. Is it possible to find a circle whose circumference is 132 ft and whose area is less than 1 foot squared? if not, provide an example or type a sentence explaining why no such circle exists.

User Gene Vayngrib
by
3.1k points

1 Answer

8 votes
8 votes

Answer:

1 ft is not an area, it's a distance or length.

Explanation:

C = pi*d

d = 132/pi

------

radius = 66/pi

-----

If the area is less than 1 ft^2

pi(r^2) < 1

r^2 < 1/pi

----

r < sqrt(1/pi)

----

radius < 0.318

========

Answer to your question: No

User Adam Lynch
by
3.0k points
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