Question

Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long. Estimate the diameter of Taiga's exercise hoop? Round your answer to the nearest thousandth of a meter.

Answer 1

Answer: 0.796 meters

Explanation:

Circumference of circle =
`2\pi r` , where r=radius

Here, Circumference of loop = 2.5 meters

i.e.
`2\pi r=2.5`

`\Rightarrow\ r=(2.5)/(2\pi)`

`\Rightarrow\ r=(2.5)/(2*(22)/(7))\\\\\Rightarrow\ r=(2.5*7)/(2*22)\\\\\Righttarrow\ r=0.398\ m`

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters