the arc corresponding to the central angle of 35 degrees in a circle of radius 10 feet measures __feet. Round your answer to two decimal places.

Respuesta :

Answer:

[tex]\huge\boxed{\sf Arc \ length = 6.11 \ ft.}[/tex]

Step-by-step explanation:

Given data:

Theta = θ = 35°

Radius = r = 10 ft.

Required:

Arc length = ?

Formula:

[tex]\displaystyle Arc \ length = 2 \pi r(\frac{\theta}{360} )[/tex]

Solution:

Put the givens in the above formula

[tex]\displaystyle Arc \ length = 2 (3.14)(10)(\frac{35}{360} )\\\\Arc \ length = 2(3.14)(10)(0.097)\\\\Arc \ length = 6.11 \ ft.\\\\\rule[225]{225}{2}[/tex]

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