Respuesta :
Answer:
6 yards
Step-by-step explanation:
Perimeter = arc length + diameter
= ½(2pi × r) + 2r
15.42 = 3.14r + 2r
15.42 = 5.14r
r = 3
Diameter = 2r
2(3)
6
The perimeter of a semi circle can be found using [ 1/2 * π * d + d = 15.42 ]
d = diameter
The diameter of a semi circle can be found using [ d(π/2 + 1) = 15.42 ]
π ≈ 3.14
Now, solve for d.
d(π/2 + 1) = 15.42
~Divide π/2 + 1 to both sides
d(π/2 + 1) ÷ π/2 + 1 = 15.42 ÷ π/2 + 1
~Simplify
d = 30.84/π + 2
~Substitute π with 3.14
d = 30.84/3.14 + 2
~Add
d = 30.84/5.14
~Divide
d = 6
Therefore, the diameter of the semicircle is 6 yards.
Best of Luck!