A hula hoop has a radius of 19 inches. what is the length of the arc subtending 1/4 of the hoop? A. 43.8 B. 14.9 C. 29.8 D. 59.7

Question

asked Apr 25, 2020 81.9k views

2 Answers

Keshav Vishwkarma · Answer 1 · 2020-04-26T22:00:15+0000

Answer:

C. 29.8 inches

Explanation:

Length of complete hula hoop(L)= circumference of hoop

=>
$L=2\pi r$

where radius, r= 19 inches

Therefore length of arc(l) subtending 1/4 of the hoop is

=>
$l=(1)/(4)* L=(1)/(4)*2\pi r=(\pi r)/(2)$

=>
$l=(\pi * 19)/(2)inches=29.8 inches$

Thus the length of the arc subtending 1/4 of the hoop is 29.8 inches

Isidor Nikolic · Answer 2 · 2020-04-29T10:21:37+0000

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.