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a circle has a circumference of 28 centimeters. if an arc subtends a central angle of 55 degrees, what is the arc length?

Sagot :

Arc length = 4.28 cm.

What is arc length?

Arc length is the distance between two points along a section of a curve.

circumference of a circle of radius r is C = 2πr,

and central angle = 360 degrees.  

circumference = 28 cm.  

28 cm =2πr

28= 2*3.14*r

28= 6.28*r

r= 4.46 cm.  

Arc length, s = r[tex]\theta[/tex]

[tex]\theta[/tex] =55 degrees,

s = 4.28 cm.

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