Peter wants to build a fence around his circular flower bed. If the diameter of the flower-bed is 7m,how much fencing does he need?
Then calculate the cost of fencing the flower-bed if of the fencing costs R15.60
circumference = pi D = 7 pi
cost = 7 pi * cost/meter
To determine how much fencing Peter needs, we first need to find the circumference of the circular flower bed. The circumference of a circle can be calculated using the formula: Circumference = π * diameter.
Given that the diameter of the flower bed is 7m, we can substitute this value into the formula:
Circumference = π * 7m
Now let's calculate the circumference:
Circumference = 22/7 * 7m
Circumference = 22m
So the circumference of the flower bed is 22m. Therefore, Peter will need 22 meters of fencing to enclose the flower bed.
Now, to calculate the cost of fencing, we need to know the cost per meter of fencing. In this case, the cost is given as R15.60 for the entire fence.
To calculate the cost for 1 meter of fencing, we can divide the total cost by the length of the fence:
Cost per meter of fencing = Total cost / Length of the fence
In this case, the total cost is R15.60 and the length of the fence is 22m:
Cost per meter of fencing = R15.60 / 22m
Now, let's calculate the cost per meter of fencing:
Cost per meter of fencing = R0.71 (rounded to two decimal places)
Therefore, the cost of fencing the flower bed would be R0.71 per meter.