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The diagram below shows circle with radii OA
and OB. The measure of angle AOB is 120°, and
the length of a radius is 6 inches.
Which expression represents the length of arc AB,
in inches?

The diagram below shows circle with radii OA and OB The measure of angle AOB is 120 and the length of a radius is 6 inches Which expression represents the lengt class=

Respuesta :

Answer:

Length of arc AB = 4π

Step-by-step explanation:

Formula to get the arc length is given by,

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = central angle subtended by the arc AB

r = Radius of the circle

By substituting the values in the formula,

Therefore, length of arc AB = [tex]\frac{120}{360}(2\pi )(6)[/tex]

                                              = 40π

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