A circle has a circumference of \blue{8}8start color #6495ed, 8, end color #6495ed. It has an arc of length \dfrac{32}{5} 5 32 ​ start fraction, 32, divided by, 5, end fraction. What is the central angle of the arc, in degrees? 18 ^\circ ∘

Respuesta :

Answer:

The central angle of the arc is 288 degrees

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that

The circumference of the circle subtend a central angle of 360 degrees

so

uing a proportion

Find out the central angle for an arc of length 32/5

[tex]\frac{8}{360^o}=\frac{(32/5)}{x}\\\\x=360(32/5)/8\\\\x=288^o[/tex]

Answer:

288

Step-by-step explanation:

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