half the distance across a circular garden measures 4.9 meters. Estimate how many meters of fencing material will be needed to enclose the garden.
the diameter is appr. 10 m
circumference of a circle = pi(d)
= appr. 3x10 = 30
I rounded up on the diameter but rounded down for pi, so ... should be close.
(actual answer = 30.79)
To estimate how many meters of fencing material will be needed to enclose the garden, we need to find the circumference of the circular garden.
Let's say the full distance across the circular garden is represented by "d" meters.
We know that half the distance across the circular garden measures 4.9 meters. So, we can write the equation as:
d/2 = 4.9
To find the full distance across the circular garden, we multiply both sides of the equation by 2:
d = 2 * 4.9
d = 9.8 meters
Now that we know the full distance across the circular garden (d = 9.8 meters), we can calculate its circumference using the formula:
Circumference = π * d
where π (pi) is a mathematical constant approximately equal to 3.14159.
Circumference = 3.14159 * 9.8
Circumference ≈ 30.823 meters
Therefore, to enclose the circular garden, approximately 30.823 meters of fencing material will be needed.