ninaavibear
ninaavibear ninaavibear
  • 21-05-2020
  • Mathematics
contestada

Find the length of jK. Use 3.14 for n and round
your answer to the nearest tenth.
M< 70°
3 in.
к

Find the length of jK Use 314 for n and round your answer to the nearest tenth Mlt 70 3 in к class=

Respuesta :

mberisso
mberisso mberisso
  • 21-05-2020

Answer:

jK is 3.7 inches long

Step-by-step explanation:

Recall that the length of the circumference of a circle of radius "R" is given by the formula:

[tex]Length=2\,\pi\,R[/tex]

which corresponds to the "arc length" with a central angle of [tex]360^o[/tex],

so we can create the following proportionality:

[tex]\frac{2\,\pi\,R}{360^o} =\frac{JK}{70^o}\\JK=\frac{2\,\pi\,R\,(70^o)}{360^o} \\JK=\frac{2\,\pi\,(3\,in)\,(70^o)}{360^o} \\JK=3.665\,\,in[/tex]

which can be rounded to the nearest tenth as: 3.7 in

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