. A garden is shaped like a semicircle with a diameter of 10 meters. The owner wants to place rocks along the straight edge of the garden, and place a special decorative fence along the curved edge. If the decorative fencing costs $20 per meter, how much will the fencing cost?
*
$200
$314
$6,280
$1,570
The circumference of a semicircle can be calculated using the formula C = πd/2, where d is the diameter.
In this case, the diameter is 10 meters, so the circumference is C = π(10)/2 = 5π meters.
To calculate the cost of the decorative fencing, we need to multiply the circumference by the cost per meter: 5π meters * $20 = $100π.
Using the approximate value of π = 3.14, the cost of the decorative fencing is approximately $314.
Therefore, the correct answer is $314.