Problem solving radius and area.

In summary, the circular garden is surrounded by fencing costing $5 per meter. With a total cost of $100, the radius of the garden is 10/pi meters and the area is 31.83 square meters.
  • #1
davie08
115
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.
 
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  • #2
i screwed up but i might have this one lol.would the radius be about 3.18
 
Last edited:
  • #3
and would the area be 31.35m
 
  • #4
Yes, the radius is 10/pi meters which equals 3.18.
 
  • #5
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.
 

Related to Problem solving radius and area.

1. What is the difference between radius and area?

The radius is the distance from the center of a circle to its edge, while the area is the amount of surface or space within the circle.

2. How do you calculate the radius of a circle?

The radius of a circle can be calculated by dividing the diameter (distance across the circle through its center) by two.

3. How do you calculate the area of a circle?

The area of a circle can be calculated by multiplying the square of the radius by pi (π).

4. Can the radius and area be the same for different circles?

No, the radius and area are dependent on each other and cannot be the same for different circles. A smaller circle will have a smaller radius and area compared to a larger circle.

5. How is problem solving used in finding the radius and area of a circle?

Problem solving is used in finding the radius and area of a circle by using the known information (such as diameter or circumference) and applying mathematical formulas to solve for the unknown values.

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