High School

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1. In circle O, radii OA and OB are drawn. Central angle AOB measures 68 degrees. What is the measure of arc AB?

(A) 34
(B) 68
(C) 112
(D) 136

Answer :

Answer:

D. 136

Step-by-step explanation:

A central angle is defined as

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

Where [tex]\theta[/tex] is the angle that subtends the arc [tex]s[/tex], and [tex]r[/tex] is the radius.

So, if the radius is 2 units long, so the measure of the arc AB would be

[tex]AB=68\°(2)=136\°[/tex]

Which means arc AB measures 136°.

Therefore, the right answer is D.

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Rewritten by : Jeany