Question

Let C be the mid-point of an arc AB of a circle such that m \[ \stackrel\frown{AB}\]  = 183°. If the region bounded by the arc ACB and the line segment AB is denoted by S, then the centre O of the circle lies

Options

• in the interior of S

•  in the exertior of S

• on the segment AB

• on AB and bisects AB

Answer 1

in the interior of S
Given: m \[ \stackrel\frown{AB}\]  = 183° and C is mid-point of arc ABO is the centre.With the given information the corresponding figure will look like the following

So the center of the circle lies inside the shaded region S.