Respuesta :
Answer:
9.42 meters
Step-by-step explanation:
diameter = 8 m
radius = 4 m
Length of arc = radius * central angle in radians
= 4 * 3[tex]\pi[/tex] / 4
= 12[tex]\pi[/tex] / 4
= 3[tex]\pi[/tex]
= 66 / 7
= 9.42 m
The length of the arc of a circle of diameter 8 meters subtended by a central angle of 3pi/4 radians is 9.42 meters.
What is the arc of the circle?
The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
expalination:
⇒angle= arc/radius
= 3pi/4 radians
diameter = 8 m
radius = 4 m
Length of arc = radius * central angle in radians
⇒4 * 3 / 4
⇒12 / 4 = 3
⇒66 / 7
⇒9.42 m
Hence the arc of a circle is 9.42 m.
Learn more about arc of a circle here:-https://brainly.com/question/2005046
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