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In circle D with mLCDE = 122 and CD = 6 units, find the length of arc CE. Round to the nearest hundredth. E

Sagot :

We are asked to determine the arc length of a circle segment. To do that we will use the following formula:

[tex]S=r\theta[/tex]

Where "S" is the arclength, "r" is the radius and "theta" is the angle. Replacing the given values:

[tex]S=(6)(122)\times\frac{\pi}{180}[/tex]

We multiply by pí over 180 to convert the angle to radians. Solving the operations:

[tex]S=12.78[/tex]

Therfore, the length of CE is 12.78 units