Find the circumference:
Circumference = 2 x PI x radius
Circumference = 2 x 3.14 x 19 = 119.32
Divide by 4: 119.32 / 4 = 29.83 rounded to 29.8
The answer is C.
Answer:
C. 29.8 inches
Step-by-step explanation:
Length of complete hula hoop(L)= circumference of hoop
=>[tex]L=2\pi r[/tex]
where radius, r= 19 inches
Therefore length of arc(l) subtending 1/4 of the hoop is
=>[tex]l=\frac{1}{4}\times L=\frac{1}{4}\times2\pi r=\frac{\pi r}{2}[/tex]
=>[tex]l=\frac{\pi \times 19}{2}inches=29.8 inches[/tex]
Thus the length of the arc subtending 1/4 of the hoop is 29.8 inches
