Problem solving radius and area.

Click For Summary

Homework Help Overview

The problem involves calculating the radius and area of a circular garden based on the cost of fencing surrounding it. The cost of the fencing is given, and participants are exploring the relationship between the cost, radius, and area.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to determine the radius based on the total cost of fencing and are discussing the area calculation. There are questions about the accuracy of the radius and area values derived from different approaches.

Discussion Status

There is ongoing discussion regarding the radius and area calculations, with some participants providing specific values and others suggesting the use of exact expressions rather than rounded numbers. Multiple interpretations of the calculations are being explored.

Contextual Notes

Participants are working under the constraints of the problem statement, which specifies the total cost of fencing and does not provide additional information about the garden's dimensions or other factors.

davie08
Messages
111
Reaction score
0

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.
 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 24 ·
Replies
24
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
1
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
4K