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In a circle of radius 25 inches, a central angle of 35° will intersect the circle
forming an arc of length
O
A. 15.27 inches
OB. 875 inches
O
c. 1.17 feet
O
D. 15.27 feet

In a circle of radius 25 inches a central angle of 35 will intersect the circle forming an arc of length O A 1527 inches OB 875 inches O c 117 feet O D 1527 fee class=

Respuesta :

Answer:

A

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × [tex]\frac{35}{360}[/tex] ← r is the radius

     = 2π × 25 [tex]\frac{35}{360}[/tex]

     = 50π × [tex]\frac{35}{360}[/tex]

     = [tex]\frac{50\pi (35)}{360}[/tex]

     = [tex]\frac{1750\pi }{360}[/tex] ≈ 15.27 inches → A

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