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What is the approximate length of arc s on the circle below? Use 3.14 for pi round your nearest tenth.
A) 14.1 in.
B) 22.5 in.
C) 42.3 in.
D) 56.5 in.

What is the approximate length of arc s on the circle below Use 314 for pi round your nearest tenth A 141 in B 225 in C 423 in D 565 in class=

Respuesta :

Answer:

A

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2π × 6 × [tex]\frac{135}{360}[/tex]

     = 12π × [tex]\frac{3}{8}[/tex]

     = [tex]\frac{36\pi }{8}[/tex] ≈ 14.1 in

Answer

14.1 in

Step-by-step explanation:

Length of the arc formula = circumference of the circle * central angle / 360

circumference of the circle formula = [tex]2\pi r[/tex]

where r is the radius of the circle

Radius = 6 in

central angle = 135 degrees

Length of the arc = [tex]2 \pi * radius* \frac{angle}{360}[/tex]

=[tex]2\pi*6* \frac{135}{360}[/tex]

= 14.137= 14.1 in

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