Problem solving radius and area.

AI Thread Summary
The problem involves calculating the radius and area of a circular garden surrounded by fencing costing $5 per meter, with a total fencing cost of $100. The correct radius is determined to be 10/pi meters, approximately 3.18 meters. For the area calculation, using the exact radius rather than the rounded value is crucial, leading to an area of approximately 31.83 square meters when rounded to two decimal places. The discussion emphasizes the importance of precise calculations in geometry problems. Accurate mathematical methods yield the correct results for both radius and area.
davie08
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Homework Statement



A circular garden is surrounded by fencing costing $5 per meter. If the total cost of the fencing is $100, find:

a)the radius of the garden

b)the area of the garden

Homework Equations





The Attempt at a Solution



all I know is that it would make sense if the whole garden is 20 meters around.
 
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i screwed up but i might have this one lol.would the radius be about 3.18
 
Last edited:
and would the area be 31.35m
 
Yes, the radius is 10/pi meters which equals 3.18.
 
For the area calculation, don't round off the radius. I think you used the 3.18 as the radius in your area calculation. If you use the 10/pi as the radius instead and go through with the area calculation, the answer will be 31.83 rounded to two decimal places.
 

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