Question

1. In circle o, radii OA and OB are drawn. Central angle AOB measures 68. The measure of arc AB is

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

(Please explain if you can, I’d really appreciate you but you don’t have to)

Answer 1

D. 136

Explanation:

A central angle is defined as

`s= \theta r`

Where
`\theta` is the angle that subtends the arc
`s`, and
`r` is the radius.

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

`AB=68\°(2)=136\°`

Which means arc AB measures 136°.

Therefore, the right answer is D.