You wish to fence a circular garden of area 70 square meters. How much fence do you need?
fence=PI*(r^2) where
70=PI*2r or r=35/PI
58
To determine how much fence you need for a circular garden, you first need to find the circumference of the circle.
The formula to calculate the circumference of a circle is:
Circumference = 2 x π x radius
However, we are given the area of the garden, not the radius. To find the radius, we can use the formula for the area of a circle:
Area = π x radius^2
Given that the area of the garden is 70 square meters, we can rearrange the formula to solve for the radius:
70 = π x radius^2
Dividing both sides of the equation by π:
radius^2 = 70 / π
radius = √(70 / π)
Now that we have the radius, we can use the formula for circumference to calculate the amount of fence needed:
Circumference = 2 x π x radius
Substituting the value of radius, we get:
Circumference = 2 x π x √(70 / π)
Simplify the equation further by canceling out π:
Circumference = 2 x √(70)
Finally, we can calculate the circumference (or the amount of fence needed) by substituting the value of √(70) into the equation:
Circumference ≈ 2 x √(70) ≈ 16.73 meters
Therefore, you would need approximately 16.73 meters of fence to enclose the circular garden of 70 square meters.