A soda company would like to replace the label on a can of soda with a radius of 3 and one fourth cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.

143 over 56 cm
143 over 28 cm
143 over 14 cm
143 over 7 cm

Question

A soda company would like to replace the label on a can of soda with a radius of 3 and one fourth cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.

143 over 56 cm
 143 over 28 cm
 143 over 14 cm
 143 over 7 cm

CHICKENNOODLES · Answer

the circumference  has to be equal  to the total length of  its boundaries

CHICKENNOODLES · Answer

and the length of the label  is 143/7cm   so the answer would be d

maths89898 · Answer

wait wait howd u work that out tho

maths89898 · Answer

i trust ur answer but i wanna know how to solve this on my own

CHICKENNOODLES · Answer

so the radius of the circle  r=3+1/4
=13/4cm
C = 2π × r

=> C = 2 × 22 / 7 × 13 / 4

=> C = ( 11 × 13 ) / 7

=> C = 143 / 7.

maths89898 · Answer

one more last question but howd u get 13/4cm from the radius?

CHICKENNOODLES · Answer

The length of label is equivalent to the circumference of circle having r =  13 / 4 cm.

maths89898 · Answer

ty!

CHICKENNOODLES · Answer

yw