A student winds a strip of paper eight times round a cylinderical pencil of diameter 7mm. Use the value 22/7 for the to find the length of the paper( ignore the thickness of the paper)

Respuesta :

176 mm

...............

As per the circumference of a circle, the length of the paper is 176 mm.

What is the circumference of a circle?

The circumference of a circle is the total arc length of it.

The diameter of the pencil is(d) 7 mm

Therefore, the radius of the pencil is(r)

[tex]= \frac{d}{2} \\= 7/2 mm\\= 3.5 mm[/tex]

Now, the circumference of the cross-section of the pencil is

[tex]= 2[/tex](π)r units

[tex]= (2) (22/7) (3.5) mm\\= 22 mm[/tex]

Therefore, the length of the paper is

= (circumference of the cross-section of the pencil) × 8 units

[tex]= (22) (8) mm\\= 176 mm[/tex]

Learn more about the circumference of a circle here: https://brainly.com/question/24171691

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