Question

Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm. What is the distance the hula hoop rolls in 44 full rotations? Round your answer to the nearest \text{cm}cm.

Answer 1

Distance covered by hula hoop in 44 rotations = 9671 cm

Explanation:

In the given question,

radius of the hula hoop (r) = 35 cm

and full rotation = 44

Now,

circumference of the hula hoop = 2
`\pi`r

Then,

distance covered in one rotation = circumference of the hula hoop

distance covered in 44 rotations = 44 × circumference of the hula hoop

Distance = 44 × 2
`\pi`r = 44 × 2 × 3.14 × 35 = 9671.2 cm

Distance covered by hula hoop in 44 rotations = 9671 cm

Answer 2

distance covered in 44 full rotation = 9671 cm

Explanation:

It is given that radius of hula hoop is 35 cm

circumference of the hula hoop =
`2\pi (radius)`

=
`2\pi (35)`

=
`70\pi`

distance covered in one rotation = circumference of the hula hoop

=
`70 \pi`

distance covered in 44 full rotation =
`44(70)\pi`

=
`3080\pi`

we have
`\pi =3.14`

distance covered in 44 full rotation =
`3080(3.14)`

= 9671.2 cm

distance covered in 44 full rotation = 9671 cm ( rounding to nearest cm)